Polygon Areas

Quadrilaterals
What is the area of the polygon?
What is the area of the kite? What are the areas of each triangle within the kite? Be sure to name each triangle with the respective area.
What is the area of the polygon?
Regular Polygons
This is a regular pentagon. Give the measurements for each of the following parts of the diagram:[br]Center[br]Central angle[br]Radius[br]Apothem[br]Area of the pentagon
Find the measure of a central angle of a regular polygon with 24 sides. Round your answer to the nearest tenth of a degree, if necessary.
How many sides does a regular polygon have if a central angle is 45[math]^\circ[/math]? What is the measure of each interior angle?
what is the measure of [math]\angle[/math]JBI?
What is the area of an equilateral triangle with side length 12 and an apothem of [math]2\sqrt{3}[/math]? Round your answer to the nearest hundredth.
Real world
It's time to carpet Mr. Rose's home office. What is the square footage that he needs to cover? If the cost of carpeting is $2.50 per sq ft, how much is it going to cost? How did you come to your answers?
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