Area of Regular Polygons Composing and Decomposing

What would be the first step in finding the area of the pentagon?

• draw in the apothem

• calculate the length of the side

• calculate the length of the radius

• find the angle measure

Find the area of the hexagon

• 300√3

• 519.62

• 600√3

• 100√2

Find the length of OM

• 20

• 10 

• 10√3

• 5√3

Find the area of the pentagon

• 58.12

• 47.02

• 76.08

• 38.04

Find the area of a regular hexagon with a perimeter of 60 ft.

• 150√3 ft²

• 150 ft²

• 60√3 ft²

• 300√3 ft²

Find the area.

• 77.9 mi²

• 188.1 mi²

• 173.8 mi²

• 347.6 mi²

A quilt is in the shape of a regular pentagon. It is made from 5 pieces of fabric that are congruent triangles. Each triangle has an area of 16 in². What is the area of the quilt?

• 200 in²

• 40 in²

• 80 in²

• 16 in²

A regular heptagon has sides measuring 26 mm and is divided into 7 congruent triangles. Each triangle has a height of 20 mm. What is the area of the heptagon?

• 74.28 mm²

• 1,274 mm²

• 3,640 mm²

• 1,820 mm²