Area of Regular Polygons Practice

The apothem of a 40-sided regular polygon is 11.4 meters. What is its area if each side measures 1.9 meters?

• 216.6 m²

• 433.2 m²

• 866.4 m²

• 1732.8 m²

What is the area of a regular octagon having an apothem of 13.3 meters and a side length of 11 meters?

• 585.2 m²

• 1170.4 m²

• 292.6 m²

• 2340.8 m²

A regular decagon has a perimeter of 10 m, and an apothem of 1.5 m. What is the area of the decagon?

• 300 m²

• 30 m²

• 75 m²

• 7.5 m²

A ___________ polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). 

• plain

• perfect

• regular

• magical

Find the area of the hexagon

• 300√3

• 519.62

• 600√3

• 100√2

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