Ejemplo 7. Teorema de Pick

A partir de una cuadrícula en la que todos los puntos tienen coordenadas enteras, el teorema de Pick permite obtener el área de un polígono simple, que no tenga agujeros, cuyos vértices estén situados sobre la cuadrícula.[br][br][img width=299,height=243]data:image/png;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwgHBgoICAgLCgoLDhgQDg0NDh0VFhEYIx8lJCIfIiEmKzcvJik0KSEiMEExNDk7Pj4+JS5ESUM8SDc9Pjv/2wBDAQoLCw4NDhwQEBw7KCIoOzs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozv/wAARCADzASsDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2Fv8Aj6j/AN1v6VLUTf8AH1H/ALrf0qWgAooooAbJ/q2+hpsH+oj/AN0fyp0n+rb6Gmwf6iP/AHR/KgCSiiigAqIf8fT/AO4v8zUtRD/j6f8A3F/maAJaKKKACobr/j2f6VNUN1/x7P8ASgCaiqp1OxW9+xNdwi5/55Fxu6Z6fSrVNxa3QBRRRSAii/1s3+8P5Cpaii/1s3+8P5CpaACiiigCG4+6n/XRf51NUNx91P8Arov86moAKKKKACorf7jf9dG/malqK3+43/XRv5mgCWiiigAqGX/Xw/U/yNTVDL/r4fqf5GgCaiiigAooooAitf8Aj1j/AN0VLUVr/wAesf8AuipaAIm/4+o/91v6VLVVnm+0R/uVztb+P6e1Sb5/+eK/99//AFqAJqKh3z/88V/77/8ArUb5/wDniv8A33/9agCST/Vt9DTYP9RH/uj+VMd5/Lb9yvQ/x/8A1qbC8/kpiFcbR/H7fSgCzRUO+f8A54r/AN9//Wo3z/8APFf++/8A61AE1RD/AI+n/wBxf5mk3z/88V/77/8ArVGHm+0t+5XOwfx+59qALVFQ75/+eK/99/8A1qN8/wDzxX/vv/61AE1Q3X/Hs/0o3z/88V/77/8ArV5D8ZNX1iDVbS0S4ltrHyd2IZCA0mTncRjkDGBXThcO8TWjSTSv3E3ZXPQp9Iv5fEL3C7hbNcxTZMw2YVVBymM7sjg59PSuirhPh94h1FvClt/bSzNJuYRTzZy8f8JJxz9e4rsorpp13QrHIPVZc/0qa83z+zbXu6aeWhXs5JczWjLNFQ75/wDniv8A33/9ajfP/wA8V/77/wDrVgIWL/Wzf7w/kKlqrG83my4hX7wz8/sPapN8/wDzxX/vv/61AE1FQ75/+eK/99//AFqN8/8AzxX/AL7/APrUAFx91P8Arov86mqrO82EzCo+df4/f6VJvn/54r/33/8AWoAmoqHfP/zxX/vv/wCtRvn/AOeK/wDff/1qAJqit/uN/wBdG/maTfP/AM8V/wC+/wD61RwPNtbEK/fb+P3+lAFqiod8/wDzxX/vv/61G+f/AJ4r/wB9/wD1qAJqhl/18P1P8jRvn/54r/33/wDWqOR5vOhzCucnHz+30oAtUVDvn/54r/33/wDWo3z/APPFf++//rUATUVDvn/54r/33/8AWo3z/wDPFf8Avv8A+tQAtr/x6x/7oqWqtu832ePEKkbR/H/9apN8/wDzxX/vv/61ACt/x9R/7rf0qWom/wCPqP8A3W/pUtABRRRQA2T/AFbfQ02D/UR/7o/lTpP9W30NNg/1Ef8Auj+VAElFFFABUQ/4+n/3F/malqIf8fT/AO4v8zQBLRRWfqGoGFhbWwD3L9B2QeppN2LhBzdkGoagYWFtbAPcuOB2Qepqi9lElnKJVWZ3+Z2cZ3H8amtrYW6kli8r8vIerGnXP/Hu/wBKz31Z16RXLH/hyUgEbSBj0qq+n27NvjDQv/eiO2rR60UNJhGTjsyusmp233JUuVHaQbW/Opk1uJTtu4ZLdvVhlfzFOpCARgjI9DRqtmD5JfFH7tP+B+BZtZ4p3maKRXBYcqc9hVmsEafA08rIGhfcMNGdvYVKsmp233JkuV/uyDDfnVcz6ozdCL+GX3mzRWYmtxKQt3DJbn1YZX8xV+KeGdd0UiuP9k5qlJPYxnSnD4kNuPup/wBdF/nU1Q3H3U/66L/OpqZmFFFFABUVv9xv+ujfzNS1Fb/cb/ro38zQBLRRRQAVDL/r4fqf5Gpqhl/18P1P8jQBNRRRQAUUUUARWv8Ax6x/7oqWorX/AI9Y/wDdFS0ARN/x9R/7rf0qWoWZftMfI+63f6VLuX+8PzoAWik3L/eH50bl/vD86AEk/wBW30NNg/1Ef+6P5UsjL5bfMOh702Fl8iP5h90d/agCWik3L/eH50bl/vD86AFqIf8AH0/+4v8AM1JuX+8PzrLv9RMF2be2w9w8YxzwgyeTSbsXCDm7Il1DUDCwtrYB7lxwOyD1NV7a2FupJYvK/LyHqxpLaBLdSS++V+XkJ5Y1PuX+8PzrPfVnXpFcsf8Ahxaiuf8Aj3f6VJuX+8PzqO4YfZ35HT1pkkp60UhZc/eH50bl/vD86AFopNy/3h+dG5f7w/OgBkf+tm/3h/IVJUUbDzZeR94d/YVJuX+8PzoACARgjI9DVZ9Ot2bfGGhf+9EdtWdy/wB4fnRuX+8PzpNJlRk47MqSPqVuE2zJcoHXiQYbr61aTW4lO27hktm9WGV/MUyZhhOR/rF7+9SEqRgkEeho1WzB8kvij92n/A/AvRTxTruikVx/snNSVhvYWzNvjzC/96JttOWbUbb7k8dyg/hk+VvzquZ9UZuhF/DL7zarKvLmaL7PbwSiA3NyyGYqDswGPAPGTjH41R1nxnaaBpUt9qFtMhTAWNQD5jHoAayPB3j3TfGstxpdzpwglAMoilIkSRc+46jI7V10aU5QdZRvFbvsc04uD5ZbnZWU3n2qyGaObkjzIvutgkf0qxTEEUUaxxhERRhVXAAHsKduX+8PzrCTTbsIWoZf9fD9T/I1LuX+8PzqGVl8+HkdT39qQE9FJuX+8Pzo3L/eH50ALRSbl/vD86Ny/wB4fnQBHa/8esf+6KlqG2Zfs0fI+6O9S7l/vD86AK7QQ/aYx5SY2t/CPapfs8P/ADxj/wC+RSN/x9R/7rf0qWgCP7PD/wA8Y/8AvkUfZ4f+eMf/AHyKkooAhkgh8tv3KdD/AAikhghMEZMSfdH8I9Klk/1bfQ02D/UR/wC6P5UAH2eH/njH/wB8ij7PD/zxj/75FSVn6hqBhYW1sA9y/QdkHqaTdi4Qc3ZEeoXEULC2toI3uX6DaMIPU1VtbGG3mfcqySMoLuVHJyamtrYW6kli8r8vIerGnj/j5b/cH8zWe+rOvSK5Y/8ADi+RD/zyT/vkUeRD/wA8k/75FPopkjPIh/55J/3yKiuIYhbuREgOP7oqxUVz/wAe7/SgBxghz/qk/wC+RR5EP/PJP++RTz1ooAZ5EP8AzyT/AL5FHkQ/88k/75FPooAgjhi8yX90nDD+EegqTyIf+eSf98ikj/1s3+8P5CpKAGeRD/zyT/vkUeRD/wA8k/75FPooAgmhiATESffX+EetSeRD/wA8k/75FJN0T/rov86koAZ5EP8AzyT/AL5FHkQ/88k/75FPooAy9e8PWPiHSJtNul8tJMFZIwAyMOhFYnw/8DWHh7Ub6d5mu7pf3SM6AKqZ7D1OK6+qlk3k6wD/AA3AdT9Qc1tHEVYU3SjJ8r3XQTpxld21sbH2eH/njH/3yKPs8P8Azxj/AO+RUlFSchH9nh/54x/98iopIIRNCPKTkn+EelWahl/18P1P8jQA77PD/wA8Y/8AvkUfZ4f+eMf/AHyKkooAj+zw/wDPGP8A75FH2eH/AJ4x/wDfIqSigCtbQQm2jJiQnaP4RUv2eH/njH/3yKS1/wCPWP8A3RUtAETf8fUf+639KlqJv+PqP/db+lS0AFFFZuvXs1lpbtbbvtMrCOHZHvIYnqF74GT+FVCDnJRXUDQk/wBW30NNg/1Ef+6P5VTsdQW60SO8nYREx/vfM+XYw4YHPTkGo59TCW8MFmVlnkQFSDlVGOpNKa5G0+hUIObsiTUNQMLC2tgHuX6Dsg9TVe2thbqSWLyvy8h6saLa2FupJYvK/LyHqxqesd9WdmkVyx/4cKjH/Hy3+4P5mpKjH/Hy3+4P5mmSSUUUUAFRXP8Ax7v9KlqK5/493+lAEp60UHrRQAUUUUARx/62b/eH8hUlQW80Us04jlRyrgMFYHBwOtT0AFFFFAEc3RP+ui/zqSo5uif9dF/nUlABRRRQAVQuCYo47kdYbgsfpnBq/VZovOs54/7xcfqaT2Lg7SVzZBBGR0NLVTTJvtGnQSHrtwfqOKt1ondXOKUeWTi+gVDL/r4fqf5Gpqhl/wBfD9T/ACNMkmooooAKKKKAIrX/AI9Y/wDdFS1Fa/8AHrH/ALoqWgCqwuPtEfMedrdj7e9SYuf70X5H/Glb/j6j/wB1v6VLQBDi5/vRfkf8aQpOxUnySVOQSp4NT0UAeY/GHS9au9KsmsoGms4pHa4it0JO44wzAdR157Zpvws0LxBa6FPJLi0hmlBgjuIzuxjkgdgf/r16dJ/q2+hpsP8AqI/90fyrsli5Swv1ZxVr3v1CDcJ8yMr+z9Y/5/bf/v0aP7P1j/n9t/8Av0a2aK4ORHR9Yn2X3Ixv7P1j/n9t/wDv0ajFhq32hh9st87B/wAsj6mt2oh/x9P/ALi/zNHIg+sT7L7kZf8AZ+sf8/tv/wB+jR/Z+sf8/tv/AN+jWzRRyIPrE+y+5GN/Z+sf8/tv/wB+jUdxYasIH3XluRj/AJ5Gt2obr/j2f6UciD6xPsvuRmf2fq//AD+2/wD36NH9n6x/z+2//fo1s0UciD6xPsvuRjf2frH/AD+2/wD36NZ3iHSvEU/h+/isbyE3LwMIwiFWJx0BzwT0zXVVla3rJ0p7VAsGbhmG+eUoq4GeynmtaVJymlHVkyxEra2+5Hivw80zW9P8XxTta3FnBGWS6eeNkQgg4U56nOP517V+/wDWL8j/AI1ZhCX1s/nBHSUKSFOV5UdDWeRJpkognYtbscRSn+H2Nb4/FTxNb2k4pdNPIrDwjycqepP+/wDWL8j/AI0fv/WL8j/jUlFcRoV5vPwmTH99ex9ak/f+sX5H/Gibon/XRf51JQBH+/8AWL8j/jR+/wDWL8j/AI1JRQBH+/8AWL8j/jUcPn7WwY/vt2PrVio4Put/vt/OgBmkGeNrm1DRjy5NwGD0PNaWLn+9F+R/xrNhbydbQ9BPEVP1FbFOG1jPEL3+buQ4uf70X5H/ABqOQXHnQ5MecnHB9KtVDL/r4fqf5GrOcMXP96L8j/jRi5/vRfkf8amooAhxc/3ovyP+NGLn+9F+R/xqaigCrbi4+zx4MeNo7H/GpMXP96L8j/jS2v8Ax6x/7oqWgCJv+PqP/db+lS1E3/H1H/ut/SpaACiiigBsn+rb6Gmwf6iP/dH8qdJ/q2+hpsH+oj/3R/KgCSiiigAqIf8AH0/+4v8AM1LUQ/4+n/3F/maAJaKKKACobr/j2f6VNUN1/wAez/SgCaiiigAqnf6bHfvDI008MkJJR4X2nkYIq5RVRk4u6Agtk8syJuZtpUbmOSflHJ96fNDHcRNFKoZGGCDSRf62b/eH8hUtS9Rp21RhkSaZKIJ2LW7HEUp/h9jVurs0MdxE0UqhkYYINY5EmmTCCdi1uxxFKf4fY1k1y+h2xkqq/vfmTzdE/wCui/zqSo5uif8AXRf51JTJCiiigAqOD7rf77fzqSo4Put/vt/OgCC/JiWG5HWGUMfp0NbYORkdDWVcxedbSx/3lIFW9Mm+0adBIeu3B+o4ojuKqr00+39f5luoZf8AXw/U/wAjU1Qy/wCvh+p/ka0OQmooooAKKKKAIrX/AI9Y/wDdFS1Fa/8AHrH/ALoqWgCq1zD9pjPmpgK3f6VL9pg/57J+dDf8fUf+639KloAi+0wf89k/Oj7TB/z2T86looAgkuYDG371Oh70kNzAIUBlT7o7+1TSf6tvoabB/qI/90fyoAT7TB/z2T86PtMH/PZPzqWigCL7TB/z2T86iFzD9pY+amNg7+5q1UQ/4+n/ANxf5mgA+0wf89k/Oj7TB/z2T86looAi+0wf89k/Oorm4hNu4EqE49atVDdf8ez/AEoAX7TB/wA9k/Oj7TB/z2T86looAi+0wf8APZPzo+0wf89k/OpaKAKsdxCJZT5qcsMc+wqX7TB/z2T86Iv9bN/vD+QqWgCL7TB/z2T86jme0uImileNkYYIJqzRQNNp3Rzcsw06WO3lmV7cyDy5c/d56Gr/ANog/wCeqfnVy9ijngWKVQyM6gg/Wsw+ZpkognYtbscRSn+H2NZtcvodkZe1/wAX5k/2iH/nqn50faIf+eqfnUlFAiP7RD/z1T86jhnhCtmVfvt396sVHB91v99v50AH2mH/AJ6p+dM0e6hiNzbGVAEk3Lz2PNT1BC3k62h/huIyp+opbNMduaEo/wBaGn9pg/57J+dRSXEJmhPmpwTnn2q1UMv+vh+p/ka1OIX7TB/z2T86PtMH/PZPzqWigCL7TB/z2T86PtMH/PZPzqWigCrbXEItowZUBCjvUv2mD/nsn50Wv/HtH/uipaAIm/4+o/8Adb+lS1E3/H1H/ut/SpaACiiigBsn+rb6Gmwf6iP/AHR/KnSf6tvoabB/qI/90fyoAkooooAKiH/H0/8AuL/M1LUQ/wCPp/8AcX+ZoAlooooAKhuv+PZ/pU1Q3X/Hs/0oAmooooAKKKKAIov9bN/vD+QqWoov9bN/vD+QqWgAooooAhuPup/10X+dOmhjuImilUMjDBBptx91P+ui/wA6moGm07owyJNMlEE7FrdjiKU/w+xq3V2aGO4iaKVQyMMEGsciTTJRBOxa3Y4ilPb2NZNcvodsZKqv735luo4Put/vt/OpKjg+63++386ZJJVS/PlrDcDrDKG/Doat1FcxedbSx/3lIFJ7FwdpK5qg5GR0NRS/6+H6n+RqLS5vtGmwOeu3B+o4qWX/AF8P1P8AI1ondXOKUXGTi+hNRRRTJCiiigCK1/49Y/8AdFS1Fa/8esf+6KloAib/AI+o/wDdb+lS1VaOX7RGPPOdrc7R7VJ5U3/Pwf8AvkUATUVD5U3/AD8H/vkUeVN/z8H/AL5FAEkn+rb6Gmwf6iP/AHR/KmPHL5bfvz0P8IpsMcvkpicj5R/CPSgCzRUPlTf8/B/75FHlTf8APwf++RQBNUQ/4+n/ANxf5mk8qb/n4P8A3yKjEcv2lh55zsHO0epoAtUVD5U3/Pwf++RR5U3/AD8H/vkUATVDdf8AHs/0o8qb/n4P/fIqO5jlFu5M5Ix02igC1RUPlTf8/B/75FHlTf8APwf++RQBNRUPlTf8/B/75FHlTf8APwf++RQAsX+tm/3h/IVLVWOOXzZf35+8P4R6CpPKm/5+D/3yKAJqKh8qb/n4P/fIo8qb/n4P/fIoALj7qf8AXRf51NVWeOUBMzk/Ov8ACPWpPKm/5+D/AN8igCao5oY7iJopVDIwwQab5U3/AD8H/vkUeVN/z8H/AL5FA02ndGSRJpkognYtbscRSnt7Gp4Put/vt/Ork1o1xE0Usu5GGCCgrEjS401/ImnJt2dhHLtBxz0NZtcvodkZKr/i/M06Kj8uX/nuf++BR5cv/Pc/98CgQujN5bXVr/zzk3L9DzV6X/Xw/U/yNZMKyw60n78gXEZUnaOorSkjl86H9+ep/hHpThtYyxC9/m7lqiofKm/5+D/3yKPKm/5+D/3yKswJqKh8qb/n4P8A3yKPKm/5+D/3yKAFtf8Aj1j/AN0VLVW3jlNvGROQNo42ipPKm/5+D/3yKAFb/j6j/wB1v6VLUTf8fUf+639KloAKKKKAGyf6tvoabB/qI/8AdH8qdJ/q2+hpsH+oj/3R/KgCSiiigAqIf8fT/wC4v8zUtRD/AI+n/wBxf5mgCWiiigAqG6/49n+lTVDdf8ez/SgCaiiigAooooAii/1s3+8P5Cpaii/1s3+8P5CpaACiiigCG4+6n/XRf51NUNx91P8Arov86moAKKKKACqwhjuLeSKVQyM7Ag/U1ZqK3+43/XRv5mgabTujIxJpkwgnYtbscRSnt7GrdXZoY7iJopVDIwwQax/3mmSiCdi1uxxFKe3saya5fQ7YyVVf3vzC/PlrDcjrDKG/Doa1pCDNAR0JP8qz7mLzraWP+8pAqawm+0WllIeuCD9QCKcdyKqvTT7f1/maFFFFaHIFFFFAEVr/AMesf+6KlqK1/wCPWP8A3RUtAETf8fUf+639Klqs06/aYztk+63/ACzPt7VJ9oX+7J/37b/CgCWiovtC/wB2T/v23+FH2hf7sn/ftv8ACgB8n+rb6Gmwf6iP/dH8qZJOvlt8snQ/8s2/wpIZ1EEY2yfdH/LM+n0oAsUVF9oX+7J/37b/AAo+0L/dk/79t/hQBLUQ/wCPp/8AcX+Zo+0L/dk/79t/hUYnX7Sx2yfcH/LM+p9qALNFRfaF/uyf9+2/wo+0L/dk/wC/bf4UAS1Ddf8AHs/0pftC/wB2T/v23+FRXM6m3cbZOn/PM/4UAWqKi+0L/dk/79t/hR9oX+7J/wB+2/woAloqL7Qv92T/AL9t/hR9oX+7J/37b/CgAi/1s3+8P5CparRzqJZvlk5Yf8sz6D2qT7Qv92T/AL9t/hQBLRUX2hf7sn/ftv8ACj7Qv92T/v23+FACXH3U/wCui/zqaqs86kJ8sn31/wCWZ9fpUv2hf7sn/ftv8KAJaKi+0L/dk/79t/hR9oX+7J/37b/CgCWorf7jf9dG/maPtC/3ZP8Av23+FRQTqFb5ZPvt/wAsz6/SgC1Uc0MdxE0UqhkYYINJ9oX+7J/37b/Cj7Qv92T/AL9t/hQNNp3RkYk0yYQTsWt2OIpT29jT9Lby7mS1/wCeczMv0IrRmMNxE0UsTsjDBBjb/CvENY+Iet6N4tulsmRbezmaEQzR5Lqpx8x65/lW+EwNbFVOSir2V/kdE8RB03zbv+rnu9FZg1uFdETVJoJ1QwLKYxGSwyAcfXmpLLV4bxpY/s9zBNFjfFLEQwB6HjIwcHv2NZqEnHmtoc1y/RUX2hf7sn/ftv8ACj7Qv92T/v23+FQAWv8Ax6x/7oqWqttOotoxtk+6P+WZ/wAKl+0L/dk/79t/hQAN/wAfUf8Aut/Spaib/j6j/wB1v6VLQAUUUUANk/1bfQ02D/UR/wC6P5U6T/Vt9DTYP9RH/uj+VAElFFFABUQ/4+n/ANxf5mpaiH/H0/8AuL/M0AS0UUUAFQ3X/Hs/0qaobr/j2f6UATUUUUAFFFFAEUX+tm/3h/IVLUUX+tm/3h/IVLQAUUUUAQ3H3U/66L/OpqhuPup/10X+dTUAFFFFABUVv9xv+ujfzNS1Fb/cb/ro38zQBLRRRQAVz+peDfDuo61DqV3pcMt0WyznOHIHG4dD0710FQy/6+H6n+RqoylHVOwEWpWX9oabPZiTyvNTaH252/h3ptjYzW889zc3IuJ5wqkrHsVVXOABk/3ic571dopqpJR5On9f5CsFFFFQMitf+PWP/dFS1Fa/8esf+6KloAib/j6j/wB1v6VLUTf8fUf+639KloAKKKKAGyf6tvoabB/qI/8AdH8qdJ/q2+hpsH+oj/3R/KgCSiiigAqIf8fT/wC4v8zUtRD/AI+n/wBxf5mgCWiiigAqG6/49n+lTVDdf8ez/SgCaiiigAooooAii/1s3+8P5Cpaii/1s3+8P5CpaACiiigCG4+6n/XRf51NUNx91P8Arov86moAKKKKACorf7jf9dG/malqK3+43/XRv5mgCWiiigAqGX/Xw/U/yNTVDL/r4fqf5GgCaiiigAooooAitf8Aj1j/AN0VLUVr/wAesf8AuipaAMxmbz0+d/un+I+1Sbn/AL7/APfRoooANz/33/76NG5/77/99GiigBrs+xvnfp/eNJGzeUnzv90fxGiigB+5/wC+/wD30aNz/wB9/wDvo0UUAG5/77/99Gowzee3zv8AdH8R9TRRQBJuf++//fRo3P8A33/76NFFABuf++//AH0ajnZvJb536f3jRRQBJuf++/8A30aNz/33/wC+jRRQAbn/AL7/APfRo3P/AH3/AO+jRRQBGjN5knzv1H8R9BUm5/77/wDfRoooANz/AN9/++jRuf8Avv8A99GiigCOVmwvzt98fxH1qTc/99/++jRRQAbn/vv/AN9Gjc/99/8Avo0UUAG5/wC+/wD30ajiZtrfO/3j/EfWiigCTc/99/8Avo0bn/vv/wB9GiigA3P/AH3/AO+jUbs3mx/O/U/xH0oooAk3P/ff/vo0bn/vv/30aKKADc/99/8Avo0bn/vv/wB9GiigCOFm8lPnfp/eNSbn/vv/AN9GiigD/9k=[/img][br][br]Si d es el número de vértices de la cuadrícula que están dentro del polígono y p el número de puntos de la[br]cuadrícula que están sobre alguno de los lados del polígono, el área del polígono será:[br][br][img width=81,height=27]data:image/png;base64,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[/img][br]En el polígono de la figura tenemos 6 puntos dentro del polígono (d = 6) y 10 puntos en los lados del triángulo (p=10).[br][br][img width=326,height=257]data:image/png;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwgHBgoICAgLCgoLDhgQDg0NDh0VFhEYIx8lJCIfIiEmKzcvJik0KSEiMEExNDk7Pj4+JS5ESUM8SDc9Pjv/2wBDAQoLCw4NDhwQEBw7KCIoOzs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozv/wAARCAEBAUYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2aoYv9dP/ALw/9BFTVDF/rp/94f8AoIoAmooooAKKKKAIbfrN/wBdD/IVNUNv1m/66H+QqagAooooAKht/uN/10f/ANCNTVDb/cb/AK6P/wChGgCaiiigAooooAhtP+PZfx/mamrLl1RNPitozb3FxLOXCJAoJ45J5Iq9aXUV9aR3MBJjlXK5GD+Iq3CSipNaBcmoooqAEqO1/wCPWL/cH8qkqO1/49Yv9wfyoAlooooAKZN/qJP90/yp9Mm/1En+6f5UAEP+pT/dH8qfTIf9Sn+6P5U+gAooooAiuv8Aj1l/3D/KpKjuv+PWX/cP8qkoAWiiigAqG7/49m+o/mKmqG7/AOPZvqP5igCaiiigAooooAKKKKACoYv9dP8A7w/9BFG+4/54L/38/wDrVFE8/mzYhX7wz8/sPagC3RUO+4/54L/38/8ArUb7j/ngv/fz/wCtQBNRUO+4/wCeC/8Afz/61G+4/wCeC/8Afz/61ABb9Zv+uh/kKmqpA8+ZcQqf3hz8/wBPapd9x/zwX/v5/wDWoAmoqHfcf88F/wC/n/1qN9x/zwX/AL+f/WoAmqG3+43/AF0f/wBCNG+4/wCeC/8Afz/61RQPPsbEKn52/j9z7UAW6Kh33H/PBf8Av5/9ajfcf88F/wC/n/1qAJqKh33H/PBf+/n/ANavOvjLquo2mg2dvBKbeK4mIn8uT5mAHAPtn+la0KXtqsaadru2oa20Or1TR5NWhsZIVtpRbtISk7MFbPHVfStXS7NtP0y3s2k8wwoF3eteKfDDxTfaLdXSzR3V1phQbwgLLE+eD7ZGeK9d07xNp+qgfY7iB2/uGXaw/Ait8bzYeo8JKSfL2+/9TSOHqyp+2UXyvqbNFQ+Zcf8APBf+/n/1qN9x/wA8F/7+f/WrjMyWo7X/AI9Yv9wfypN9x/zwX/v5/wDWqO3ecW0WIVI2D+P2+lAFqiod9x/zwX/v5/8AWo33H/PBf+/n/wBagCamTf6iT/dP8qZvuP8Angv/AH8/+tTJXn8l8wrjaf8Alp/9agCaH/Up/uj+VPqtE8/kpiBfuj/lp/8AWp++4/54L/38/wDrUATUVDvuP+eC/wDfz/61G+4/54L/AN/P/rUALdf8esv+4f5VJVa4ec20uYVA2H+P2+lSb7j/AJ4L/wB/P/rUATUVDvuP+eC/9/P/AK1G+4/54L/38/8ArUATVDd/8ezfUfzFG+4/54L/AN/P/rVFcvObdswqBx/H7/SgC3RUO+4/54L/AN/P/rUb7j/ngv8A38/+tQBNRUO+4/54L/38/wDrUb7j/ngv/fz/AOtQBNRUO+4/54L/AN/P/rUUATVDF/rp/wDeH/oIqaoYv9dP/vD/ANBFAE1FFFABRRRQBDb9Zv8Arof5Cpqht+s3/XQ/yFTUAFFFFABUNv8Acb/ro/8A6EamqG3+43/XR/8A0I0ATUUVk6/r9toVoJJAZbiT5YYF+9I3+FKUlFXZpTpzqzUIK7Yuv6/baFZiSQGWeQ7YYF+9I1c3YaTLd3L6prgW4u5hgRMMpCv90CnabptzPeHWNYYS30g+RP4YF9BWwOtc2s3d7HspQw0HTpu7e7/ReX5+hWsbeC2tFighjiTn5UUAdfQVWvfD+l353TWirJ/z0j+Vh+Iq7b/6hfx/nUlU0nuZ06k6bvB29DGj0/XdL50rWXljHSC7G8fn1q1H4yvrEhda0eWNR1ntv3ifXHWr9FSouPws1lVhU/jQT89n96/VMu6d4i0jVV/0S+idv7hOGH4Gr1r/AMesX+4P5Vyd74f0u/O6a0VZO0kfysPxFVLax17TIUbStYaSPaCILsbh9AatVJL4lf0OeWCoT/hzs+0v81/kjvKK5CLxnfWOF1vRpY1HWe2/eJ9cda3NO8R6RqoH2O+idv7hO1h+Bq41YS0uctXA16S5nG67rVfejTpk3+ok/wB0/wAqfTJv9RJ/un+VaHGEP+pT/dH8qfTIf9Sn+6P5U+gAooooAiuv+PWX/cP8qkqO6/49Zf8AcP8AKpKAFooooAKhu/8Aj2b6j+Yqaobv/j2b6j+YoAmooooAKKKKACiiigAqGL/XT/7w/wDQRU1Qxf66f/eH/oIoAmooooAKKKKAIbfrN/10P8hU1Q2/Wb/rof5CpqACiiigAqG3+43/AF0f/wBCNSkhVLMQAOST2rB1HxPYaVprTxypdSySusMULBi7bjxxSlJRV2aU6c6s1CCu2Wtf1+20KzEkg824k+WGBfvSN/hXOabptzNdtq+rsJb6QfKn8MC+go03TLia7bV9YYS30g+VP4YF9BWxXNrN3ex7KUMNB06bu3u/0Xl+foFKOtJTGuIUuI4GlRZZASiE8sB1wKsxSb2Et/8AUL+P86kqvDcQp5Vu0qCVwzKhPJAPJxVigLNBRRRQIKZB/wAe8f8AuikNxCLgWxlTziu8R5+Yj1xTILiHMdt5qed5Qfy8/Nt9cUrorlfYn7YrOvfD+l353TWiCTtJH8rD8RWjRQ0nuVCpOm7wdmYsen67pXOlay8kY6QXY3j8+tWP+Ex1CzjaPWtGlQYI8+2O9fy61pVC9xCzy2wlQzLHuaPPIHrips4/C7GjqRq/xYKXns/vX6pmhpXiLSNThRbW+idwoyhO1h+BrWriLjR9F1GTyZYYvtKIrHyztkUHoeKbHp+uaWc6VrLyRjpBdjev59apVJLdX9DCeCoT/hz5X2l/mv8AJHc0VyEfjG/sfl1rRpUUdZ7b51/LrW3pviTR9VA+yX0TN/cY7WH4GtI1YS0uclXBV6S5nG67rVfei/df8esv+4f5VWudT8i6+zRWs1w6p5kvlgfu15weTyTg4A54NS388NvYyvPNHEm0jc7BR09TVW60+ee5N3p9+tu08QjkbyxIGUElSvIwRuPPI56V0UuS/vf19xxM0UYOiuM4YZGRg06mouyNU3M20Abm6n3NOrNjCobv/j2b6j+Yqaobv/j2b6j+YoAmooooAKKKKACiiigCHNz/AHYv++j/AIVFEbjzZsLFncM/MfQe1W6hi/10/wDvD/0EUAGbn+7F/wB9H/CjNz/di/76P+FTUUAQ5uf7sX/fR/wozc/3Yv8Avo/4VNRQBUgNxmXCxf6w55Pt7VLm5/uxf99H/Ci36zf9dD/IVNQBDm5/uxf99H/CjNz/AHYv++j/AIVNWTr+v2+hWgdwZbiQ7YYF+9I3+FKUlFXZpTpzqzUIK7ZyPxhu72PwpHbRzInnzgSxxsd7oAe3pnGa4L4XWN3J4ka6itwbaKFhI7j5QxxjHv8A/Xr0nTdMuJbttX1dhLfSj5V/hhX+6K07dVSNgqhRvbgDHc11UswlHCTwzgrSd79Vt/l8jtnhI0qsXCd2t+1/Ly/MXM/pF+Z/wo/f+kX5n/CpKK881I/3/pF+Z/wrB8VGM28EZQNqDP8A6H5JPmBvX6etdFSeXGZVkKKXXhWI5APXBqZLmVjahU9lUU+39fd38jlPDW+PU7hNRUHV2GQ8p4aP/YwMY9a6j9/6Rfmf8KbBHGyRyFFLqCFYjkAnsampQjyqw8RV9tPntb8vl2XkR/v/AEi/M/4Ufv8A0i/M/wCFSUVZgc14n+eW1jgQHVtwNsYSdyjuW4+79aZ4WISe4juUA1brKZicsnYr/s/SumMcfmebsXzAu3fjnHpmo4I49kcuxfM8sLvxzj0zWXJ73Mdv1pew9jb59fT08u+o79/6Rfmf8KP3/pF+Z/wqSitTiI/3/pF+Z/wrmvEu6S/to7BR/bA5Voj92PvvyMYrqajeOMeZKEUSFCC+OSPTNROPMrG9Cr7GfPa/9dfLyOe8JlFinjZAupBs3XnE729D/u+ldD+/9IvzP+FEUcY2yhFEjIAWxyR6ZqSnGPKrCr1Pa1HPv/X3diP9/wCkX5n/AArOvtAstQO6ezgEnaSMlWH4gVq0U2k9yIVJ03eDszxz4jaZqWn3ttHPcXFzpwjzAZGLLG2fmH16fhXoHwfj1ePwi5uAfsrTk2glJB2YGcf7Oc4/Gty/hS40+4hdQyvGwIIyOlO8BXLS+G1tpD+8s5XgYdwAeP0r0nmHNhYYPkSSu79f61OWvhnNTxLld3V169fwN/Nz/di/76P+FGbn+7F/30f8KmorlOAhzc/3Yv8Avo/4VFcm48hsrFjjoT6/SrdQ3f8Ax7N9R/MUAGbn+7F/30f8KM3P92L/AL6P+FTUUAQ5uf7sX/fR/wAKM3P92L/vo/4VNRQBDm5/uxf99H/CipqKACoYv9dP/vD/ANBFTVDF/rp/94f+gigCaiiigAooooAht+s3/XQ/yFTVDb9Zv+uh/kKz9f1+20K0DuDLcSnbDAv3pG/wpSkoq7NKdOdWahBXbDX9ft9CtA7gy3Eh2wwL96Rv8K57TdMuJbttX1dhLfSfdX+GBf7oo0zTLiW7bV9XYS38o+Vf4YF/uiteubWbuz2UoYaDp03dvd/ovL8/QKjg+43++38zUlRwfcb/AH2/maswJKKKKAClHWkpR1oAit/9Qv4/zqSo7f8A1C/j/OpKACiiigApkH/HvH/uin0yD/j3j/3RQA+iiigApsn+qf8A3T/KnU2T/VP/ALp/lQAR/wCqT/dH8qdTY/8AVJ/uj+VOoAKKKKAGT/8AHvJ/umqPhh/sXi3VrA8LcKtzGP0NXrj/AI95P901lXr/AGDxXo9/0SVmtpD/AL3T9aiWjUuzN6S54zp/zJ/etV+R3FFFFdR4QVDd/wDHs31H8xU1Q3f/AB7N9R/MUATUUUUAFFFFABRRRQAVDF/rp/8AeH/oIoxc/wDPSL/vg/41HELjzZsPHncM/If7o96ALVFQ4uf+ekX/AHwf8aMXP/PSL/vg/wCNAFfWbqS00meWBS05XZCq9WduFA/Eiqfh24mi02W21AyRy2TlXa4kDNs+8rMwJHQ9c9q1Ntwf44v++D/jXLfEjTdX1PwXd2+n4lk3KzxRKQ0iA5IHPPrjviuilKMoqk7K7Wvb/gbifcs3XjPR7Wznls7yC/naUpFDbyBmZuMdO3vWdpmmXEt22r6uwlv5fur/AAwr/dFeZfD/AMMa/feIlns45LFbYN5lxPCdq8Y24PU/yr1T/hGvFH/QxQf+A1Z5jhVh8R7OEudK2qt/mevgatL2DXMoSe973a8rLRd+/oaFFZ//AAjXij/oYoP/AAGo/wCEa8Uf9DFB/wCA1cV5fyv8P8zblof8/o/+Tf8AyJelljgiaWWRY40GWdzgAe5NVdM1Cy1CF3sruG4VXYMYnDY5PWuX8eeFPFcvhtyNQ/tGOOQPLbww7WZRnnjrg84rmfht4a8R3WrTXVk0mnQJEUkmmiO1znhQD1P8vxr0qWDhPBzxDmlKL+Hq/wAf6scc60Y11TTTT662/K/4HrVFZ/8AwjXij/oYoP8AwGo/4RrxR/0MUH/gNXm3l/K/w/zOzlof8/o/+Tf/ACJoUya4htYWnuJUhiTlnkYKo/E1S/4RrxR/0MUH/gNXJfETwr4qbQ4pWvTqcEMu6WGCHDDjhsDqB/XNb4an7atGnL3U3a7tZfiZVnShTco1FJror/qjstMvrS/s1ls7mK4jBILRuGAOat15b8M/DXiWee6u7SZ9NtigQvNESJWz2U+nrXoX/CNeKP8AoYoP/AatMbQWGrypQfOl1Vv8ycPKnVpqU5qL7O/6JmhRWf8A8I14o/6GKD/wGo/4RrxR/wBDFB/4DVyXl/K/w/zN+Wh/z+j/AOTf/Ilu6ureygae6njgiXq8jBQPxNR6dd217YxTWs8c8ZUDfGwYZ9K4P4leF/FAsLW5mum1S2iZt6QQkGMnGGIHUdRnt+NVPhYt3Y315DcF7ZbmNWiinQr5hBPzKDjt/nivSWEp/UvrLqJSvbl6/n8zk9o3XdOC5ktbq/8AkeoUVHif+/H/AN8n/GjE/wDfj/75P+NeeaklV3vbY3ElkJl+0CIuY++31qTE/wDfj/75P+Nc34kWS9vbeyslB1KP94J0BXyE7knuD6VE5cqudGHpKrPlenn2835HQQXttJObRJlaeJFZ0HVQfWrFc54VPkQzWDxCC/jO6cupYy56PuzyK38T/wB+P/vk/wCNEHzK4q9NUqjgv+H8/R9CSio8T/34/wDvk/40Yn/vx/8AfJ/xqzAhkvbaV7m0SZTPEmXj7gEVleJJ4LzSrpbaZXudOdJmC8lCDmqXiKObUNTS205QL+3QtLcplBGhH3Se+ateHo45NKuNMEIt7iMFLqORSWZj/FnPOawcnJuJ6cKUaMY19bqzt2835Pp6/f3VhcreWFvdIcrLGrj8RViuX8DXFxL4dW2MiB7ORoGDKSRg8d/Suixc/wDPSL/vg/411wlzRTPnsTS9jWnT7Nk1Q3f/AB7N9R/MUYuf+ekX/fB/xqK6Fx9nbLx446IfX61ZzluiocXP/PSL/vg/40Yuf+ekX/fB/wAaAJqKhxc/89Iv++D/AI0Yuf8AnpF/3wf8aAJqKhxc/wDPSL/vg/40UATVDF/rp/8AeH/oIqaoYv8AXT/7w/8AQRQBNRRRQAUUUUAQ2/Wb/rof5Cpqht+s3/XQ/wAhU1ABRRRQAVFb/cb/AK6P/wChGpaht/uN/wBdH/8AQjQBNRRRQAUUUUAQ2n/Hsv4/zqaobT/j2X8f5mpqACiiigDJi1uSfVJrOKyzHDN5TytOg5wDkLnJ61Fq3h+317SoVcmK5iQNBOv3o2x/Kli0Aw6xNfrJaOJZvNPmWYaVflAwJN3HT0rVtf8Aj1i/3B/KtcRGlKyhtbXff5l0as6U1OLs0cbpmp3Ed22kauoiv4vut/DOv94Vr1a8QaBb67aBHJiuIjugnX70bf4Vz2malcRXbaRq6iK/i+638My/3hXBrB2Z7ScMTB1Kas1uv1Xl+Xoa9NkA8tzgZKnmnU2T/VP/ALp/lVmARgeWpwM7RzTqbH/qk/3R/KnUAFFFFAEc4AglIAyVOT61IAAcgDJ6mmXH/HvJ/umn0AZ/hh/sXizVrA8JcKtzGP0NdhXD3sn2DxXo9/0SVmtpD/vdP1ruKdHZx7MzzFXlCp/Ml960/QKhu/8Aj2b6j+Yqaobv/j2b6j+YrY80mooooAKKKKACiiigAqGL/XT/AO8P/QRU1Qxf66f/AHh/6CKAJqKKKACiiigCG36zf9dD/IVNUNv1m/66H+QqagAooooAKht/uN/10f8A9CNTVDb/AHG/66P/AOhGgCaiiigAooooAhtP+PZfx/mamqG0/wCPZfx/mamoAKKKKAEqO1/49Yv9wfyqSo7X/j1i/wBwfyoAlrJ1/QLfXbQI5MVxEd0M6/ejb/CtailKKkrM0pVZ0pqcHZo4jTNTuIrttI1dRFfxD5W/hmX+8K1ZP9U/+6f5Vc1/QLfXbQI5MVxF80M6/ejb/CuTPiRNGSWx8SSpaXMSkLI33Zx2K+tc6jKMuXe+x7HNTrwdWGjW6/VeX5eh0Ef+qT/dH8qdVXTdQtNTsY7mxuI7iEjG9DkZHUfWrVU1bRmK1CiiigBlx/x7yf7pp9UpNRtZLm409ZMXMce4oRjII6j1qS11G1vLieC3k8xrchZCB8oJ7A96V0aOnNatefyZQ8VQtJock0f+stmWZD6FTmuwsLlb3T7e6Q5Esav+YrEniWe3khbpIpU/iKb4DuWl8OLayH95ZSvAw9MHj9KIaVPX9CcQufCX/lf4SX+a/E6Wobv/AI9m+o/mKmqG7/49m+o/mK6DxyaiiigAooooAKKKKAIfLn/5+P8AxwVFFHN5s2J/4hn5BzwKt1DF/rp/94f+gigA8uf/AJ+P/HBR5c//AD8f+OCpqKAIfLn/AOfj/wAcFHlz/wDPx/44KmooAqQRzEy4nx+8P8A9ql8uf/n4/wDHBRb9Zv8Arof5CpqAIfLn/wCfj/xwUeXP/wA/H/jgqaigCHy5/wDn4/8AHBUUEcxRsT4+dv4B6mrdQ2/3G/66P/6EaADy5/8An4/8cFHlz/8APx/44KmooAh8uf8A5+P/ABwUeXP/AM/H/jgqaigCnbRzG3XE+BzxsHrU3lz/APPx/wCOCi0/49l/H+ZqagCHy5/+fj/xwUeXP/z8f+OCpqKAIPLn/wCfj/xwVHbxzG2iInwNg42D0q1Udr/x6xf7g/lQAnlz/wDPx/44KPLn/wCfj/xwVNRQBD5c/wDz8f8Ajgry/wCL3hfWtTnstSsoZL2GCNo5EiT5o+c5wOoP9K9Wpk3+pf8A3T/KujDYieGrRrQ3XcTV1Y8e+GtpeaNJd2WoiWxmudkkUEyY3gA/MM16Bsl/57f+OCretaBb67p0aOTFcRqGhnX70bf4Vg6bqdxFdtpGrqIr6P7rfwzr/eFcuJrzrV5VKm8nfQ9nD06c6C9lvFar9V5fkaeyX/nt/wCOCjZL/wA9v/HBUlFZEnK+IbW51e/WztVKS2ql5LxlK7AR90Edc1d8NeZFZvpzwG0ntDtkUR5V8/xBu+a2rj/j3k/3TT6zULS5jrliXKiqNtFt6/106ffePZL/AM9v/HBWf4bMtn4r1TTxNtW4VblPlHJ6GtSsa/k/s/xXo+odFkdraQ+zdP1pydmpdmRRjzxnS/mT+9ar8js/Ln/5+P8AxwVFcxzCBsz5HH8A9at1Dd/8ezfUfzFdR4IeXP8A8/H/AI4KPLn/AOfj/wAcFTUUAQ+XP/z8f+OCjy5/+fj/AMcFTUUAQ+XP/wA/H/jgoqaigAqGL/XT/wC8P/QRU1Qxf66f/eH/AKCKAJqKKKACiiigCG36zf8AXQ/yFTVDb9Zv+uh/kKmoAKKKKACobf7jf9dH/wDQjU1Q2/3G/wCuj/8AoRoAmooooAKKKKAIbT/j2X8f5mpqhtP+PZfx/mamoAKKKKAEqO1/49Yv9wfyqSo7X/j1i/3B/KgCWiiigApk3+ok/wB0/wAqfTJv9RJ/un+VABD/AKlP90fyrM1/QLfXbQI5MVxH80M6/ejb/CtOH/Up/uj+VPpSipKzNKdSdKanB2aOI03UriG7bSNXURX0f3W/hnX+8K16ta/oFtrtoEcmK4j+aGdfvRt/hXPabqVxDdtpGrqIr6P7rfwzr/eFc2sHZnspwxMHUpqzW6/VeX5ehqXH/HvJ/umn0y4/495P900+rMArH8VQNLoUssf+stmWZf8AgJzWxTJ4lnt5IWGVkUqfxFTJXTRrRqezqRn2Zt2F0t7p9vdKciaNX49xTrv/AI9m+o/mKwPAdy0nhxbWQ/vLKV4GHpg8fpW/d/8AHs31H8xW0Jc0UzzMVS9jXnT7Nk1FFFWc4UUUUAFFFFABUMX+un/3h/6CKXyX/wCfiT/x3/Cooon86b9/Jww/u8/KPagC1RUXkv8A8/En/jv+FHkv/wA/En/jv+FAEtFReS//AD8Sf+O/4UeS/wDz8Sf+O/4UAJb9Zv8Arof5CpqqQROTL+/kH7w/3fb2qbyX/wCfiT/x3/CgCWiovJf/AJ+JP/Hf8KPJf/n4k/8AHf8ACgCWobf7jf8AXR//AEI0vkv/AM/En/jv+FRW8TlG/fyD52/u+p9qALVFReS//PxJ/wCO/wCFHkv/AM/En/jv+FAEtFReS/8Az8Sf+O/4UeS//PxJ/wCO/wCFACWn/Hsv4/zNTVUtYnNup8+Qdem31+lTeS//AD8Sf+O/4UAS0VF5L/8APxJ/47/hR5L/APPxJ/47/hQBJUdr/wAesX+4P5Unkv8A8/En/jv+FR20Tm2iPnyD5Bx8vp9KALVFReS//PxJ/wCO/wCFHkv/AM/En/jv+FAEtMm/1En+6f5U3yX/AOfiT/x3/CmSwuIX/wBIkPyn+7/hQBLD/qU/3R/Kn1Xihcwp/pEg+Uf3f8Kf5L/8/En/AI7/AIUAS1k6/oFvrtoEcmK4jO6GdfvRt/hWj5L/APPxJ/47/hR5L/8APxJ/47/hSlFSVmaU6k6U1ODs0edXXiyLQI5dO8SM0F4i4RkQsJ17MMV0Gm6nZavZJeWFws8D8Bl7HuCOxrkfip4I1rVdVh1fTY3voxCIpIwwDx4JOQOMg5pvgCwufDy3Okar5tnezyCVImIIK4A4PIJrqqYbDU8HCqqt5t2cfvO2FapiK0uWFklfT8f66HdUVH5Tf89n/T/Cjym/57P+n+FeealPwy/2LxZqtgThLlVuYx79DXVXf/Hs31H8xXFX26w8U6Rfea4WVjbSNx0bp29a7C6icW7Hz5D067fX6U6Ozj2ZnmKvKFT+ZL71p+hboqLyX/5+JP8Ax3/CjyX/AOfiT/x3/CtjzSWiovJf/n4k/wDHf8KPJf8A5+JP/Hf8KAJaKi8l/wDn4k/8d/wooAlqGL/XT/7w/wDQRU1Qxf66f/eH/oIoAmooooAKKKKAIbfrN/10P8hU1Q2/Wb/rof5CpqACiiigAqG3+43/AF0f/wBCNTVDb/cb/ro//oRoAmooooAKKKKAIbT/AI9l/H+ZqaobT/j2X8f5mpqACiiigBKjtf8Aj1i/3B/KpKjtf+PWL/cH8qAJaKKKACmTf6iT/dP8qfTJv9RJ/un+VABD/qU/3R/Kn0yH/Up/uj+VPoAKKKKAIrr/AI9Zf9w/yrO17QLbXbMRyExTx/NDOv3o2/wrRuv+PWX/AHD/ACqSlKKkrM0p1J0pqcHZo4jTdSuYbs6Rq6iK+jHyP/DOvqK2Kt6/oFtrtoI5CYp4zuhnX70bf4Vzmm6lcw3Z0jWFEV9H9x/4Z19RXNrB2ex7KcMTB1Kas1uv1Xl+XoHimFpNCllj/wBZbMsy/VTmuqiulvdHhukORNGj/nisqeJZ7eSFhlZFKkfUVX8HXLSeE/sshzJZStA34Nx+lVB2qev6GWIXPhL/AMr/AAkv81+J1dFFFdB44UUUUAFFFFABUMX+un/3h/6CKmqGL/XT/wC8P/QRQBNRRRQAUUUUAQ2/Wb/rof5Cpqht+s3/AF0P8hU1ABRRRQAVDb/cb/ro/wD6EamqG3+43/XR/wD0I0ATUUUUAFFFFAENp/x7L+P8zU1Q2n/Hsv4/zNTUAFFFFACVHa/8esX+4P5VJUdr/wAesX+4P5UAS0UUUAFMm/1En+6f5U+mTf6iT/dP8qACH/Up/uj+VPpkP+pT/dH8qfQAUUUUARXX/HrL/uH+VSVHdf8AHrL/ALh/lUlAC1la/oFtrtoI5CY54/mhnX70bVq0UpRUlZmlOpOlNTg7NHD6bqVzBeHR9YURX0Y+R/4Z19RT9Ef7F4k1ewPC3CpcoPfODXQa/oFtr1mI5CYp4/mhnX70bf4V5nqnihvDfiazTWY3N5aqY5zCM+bEejfp0rCFKrKpGEE5PpbVnuRq0K1CpK6i2tV57prybVrdL9j2GiqOj6xY69pkWo6dOJreUcHGCD3BHYir1dLTTsz58KKKKQBRRRQBD9mH/PWX/vs1FFbgyzDzZeGH8Z9BVuoYv9dP/vD/ANBFAB9mH/PWX/vs0fZh/wA9Zf8Avs1NRQBD9mH/AD1l/wC+zR9mH/PWX/vs1NRQBUgtwTL+9l4kI++fapfsw/56y/8AfZot+s3/AF0P8hU1AEP2Yf8APWX/AL7NH2Yf89Zf++zU1FAEP2Yf89Zf++zUUFuCjfvZfvt/GfU1bqG3+43/AF0f/wBCNAB9mH/PWX/vs0fZh/z1l/77NTUUAQ/Zh/z1l/77NH2Yf89Zf++zU1FAFS2tw1up82Udejn1qX7MP+esv/fZotP+PZfx/mamoAh+zD/nrL/32aPsw/56y/8AfZqaigCH7MP+esv/AH2ajt7cG2iPmyjKD+M+lWajtf8Aj1i/3B/KgBPsw/56y/8AfZo+zD/nrL/32amooAh+zD/nrL/32aZLbgQufNl+6f4zVmmTf6iT/dP8qAIYrcGJD5sv3R/Gaf8AZh/z1l/77NPh/wBSn+6P5U+gCH7MP+esv/fZo+zD/nrL/wB9mpqKAKlxbgW0p82U4Q/xn0qX7MP+esv/AH2aW6/49Zf9w/yqSgCL7MP+esv/AH2aPsw/56y/99mpqKAIfsw/56y/99mvLPiP8OdX1XXDq+lFblJkVZY5JMMhHAIJ6j+Ves1Dd/8AHs31H8xXRhsTVwtVVaTs0KUVJWZzfgTwnN4Y8NpZXdwWuJHMsoic7VJxwPXGOtUiLb7ddGG7uDrA1LbHGs7ljHuXOVzjbs3c4rt6KqOJlzynLVy/r7vIVuhD9mH/AD1l/wC+zR9mH/PWX/vs1NRXKUQ/Zh/z1l/77NFTUUAFQxf66f8A3h/6CKmqGL/XT/7w/wDQRQBNRRRQAUUUUAQ2/Wb/AK6H+QqaobfrN/10P8hU1ABRRRQAVDb/AHG/66P/AOhGpqht/uN/10f/ANCNAE1FFFABRRRQBDaf8ey/j/M1NUNp/wAey/j/ADNTUAFFFFACVHa/8esX+4P5VJUdr/x6xf7g/lQBLRRRQAUyb/USf7p/lT6ZN/qJP90/yoAIf9Sn+6P5U+mQ/wCpT/dH8qfQAUUUUARXX/HrL/uH+VSVHdf8esv+4f5VJQAtFFFABUN3/wAezfUfzFTVDd/8ezfUfzFAE1FFFABRRRQAUUUUAFQxf66f/eH/AKCKKKAJqKKKACiiigCG36zf9dD/ACFTUUUAFFFFABUNv9xv+uj/APoRoooAmooooAKKKKAIbT/j2X8f5mpqKKACiiigBKjtf+PWL/cH8qKKAJaKKKACmTf6iT/dP8qKKACH/Up/uj+VPoooAKKKKAIrr/j1l/3D/KpKKKAFooooAKhu/wDj2b6j+YoooAmooooAKKKKACiiigD/2Q==[/img][br][br]Por tanto, el área de este polígono será: [br][br][img width=208,height=30]data:image/png;base64,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[/img][br]Valor que coincide con el que aparece en la [b]Vista algebraica[/b] para este polígono.[br][br][img width=203,height=60]data:image/png;base64,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[/img][br][br]Una demostración   del teorema de Pick se puede encontrar en:[br][br][url=http://gaussianos.com/el-teorema-de-pick/]http://gaussianos.com/el-teorema-de-pick/[/url][br]

Information: Ejemplo 7. Teorema de Pick