Let the length of each side of the building be x meter (Since it is a square)[br][br]The length of each side of the platform is (x + 38) meter[br][br]Area of platform [math]=side\times side[/math][br][br][math]9025=\left(x+38\right)^2[/math][br][br][math]x^2+76x+1444=9025[/math][br][br][math]x^2+76x-7581=0[/math][br][br][math]\left(x+133\right)\left(x-57\right)=0[/math][br][br][math]x+133=0[/math] or [math]x-57=0[/math][br][br][math]x=-133[/math] or [math]x=57[/math][br][br]The dimension cannot be negative.[br][br]x = 57[br][br]57 meters

Dimension of the platform = x + 38 = 57 +38 = 95[br][br]95 meters

Let the width of the Taj Mahal be x meters and length is (x + 245) meters[br][br]Area of the complex = [math]length\times width[/math][br][br][math]167750=x\left(x+245\right)[/math][br][br][math]x^2+245x-167750=0[/math][br][br][math]\left(x+550\right)\left(x-305\right)=0[/math][br][br][math]x+550=0[/math] or [math]x-305=0[/math][br][br][math]x=-550[/math] or [math]x=305[/math][br][br]The dimension cannot be negative.[br][br][math]x=305[/math][br][br]width = 305 meters, length = 305 + 245 = 550 meters[br][br]550 meters, 305 meters