Area of Regular Polygons

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

Which is the apothem?

• AD

• AB

• CD

• CB

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

What is the area of the equilateral triangle?

• 1558.8 km²

• 389.7 km²

• 519.6 km²

• 129.9 km²

Find the area of the pentagon

• 58.12

• 47.02

• 76.08

• 38.04

Find the length of the apothem

• 3.236

• 4.944

• 2.351

• 6.805

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