Area of Regular Polygons and Quadrilaterals

Find the area of the following polygon.

• 108 u²

• 1782 u²

• 445 in²

• 891 in²

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

What is the area?

• 173.832 u²

• 21.729 u²

• 43.458 u²

• 347.664 u²

Find the area.

• 12.75

• 191.25

• 19.125

• 95.625

Find the area of the shaded region.

• 13.5

• 54

• 67.5

• 13.5

What is the formula for finding the area of a regular polygon?

• A = ½ ∙P∙ a

• A = 2 ∙P∙ a

• A = ½ ∙b ∙h

• A = ½ ∙d₁d₂

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