Finding Perimeter and Area of Polygons

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

Find the area of the regular polygon

• 172.0 in.²

• 170.0 in.²

• 17.2 in²

• 50 in.²

Find the area of the regular polygon.

• 259.8 m

• 259.8 m²

• 259.8 cm

• 259.8 cm²

Find the area of the regular polygon.

• 122 ft²

• 27.7 ft²

• 124.7 ft²

• 363.2 ft²

Find the area of this regular polygon.

• 84.9 m²

• 82.3 m²

• 74.9 m²

• 62 m²

Find the area of this regular polygon

• 81.8 m²

• 204.4 m²

• 408.8 m²

• 40.8 m²

• 428.8 in. ²

• 400.5 in²

• 397.7 in²

• 842.5 in²

What is the formula for area of a regular polygon.

• ½⋅apothem⋅perimeter

• a² + b² = c²

• πr²

• √x²+y²

What is the area of the polygon using the information and steps shown in the picture?

• 300.2 cubed units

• 99.9 square units

• There is no solution.

• 259.8 square units