What is the area of a regular pentagon if its apothem has a length of 4 feet and each side has a length of 5.8 feet?
a 139.2 ft?
b. 58 ft2
C. 116 ft2
d 69.6 ft-

Answers

Answer 1

The area of a regular pentagon is 58 ft2. thus option B is correct.

What is apothem?

Apothem for a regular polygon is a line segment that originates from the center of the regular polygon and touches the mid of one of the sides of the regular polygon.

It is perpendicular to the regular polygon's side it touches.

Given; An apothem has a length of 4 feet and each side has a length of 5.8 feet.

The area of any regular polygon can be calculated as:

Area = number of sides (n) x 0.5 x length of sides (s) x apothem (a)

Area = 5 x 0.5 x 4 x 5.8

Area = 58

Hence, the area of a regular pentagon is 58 ft2. thus option B is correct.

Learn more about apothem here:

https://brainly.com/question/12090932

#SPJ2


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