Question

Find the area of the regular polygon. Round your answer to the nearest hundredth.

(4 , 3.3)
The area is about __
square units.

Answer 1

The area of the regular polygon rounded to the nearest hundredth is 33.00 square units

What is the area of the regular polygon?

The area of the regular polygon = ½ × a × p

Where,

a = apothem = 3.3

p = perimeter = 4 × 5

= 20

The area of the regular polygon = ½ × a × p

= ½ × 3.3 × 20

= 33 square units

Therefore, 33.00 square units is the area of the regular polygon.

Answer 2

total area = 39.6 square units

Explanation:

determine the inside angle

360 / 5 = 72°

half of the triangle = 36°

given:

adj = 3.3

Ф = 36°

length of the opp of a small triangle is = adj. tan Ф

opp = 3.3 * tan 36 = 2.4

area of a triangle = 1/2 b * h x 2 tringles

area =( 1/2 * 2.4 * 3.3 ) * 2

area = 7.92 multiplied by 5 equal shapes

total area = 7.92 * 5

total area = 39.6 square units

hope this helps