Question

The area of the regular pentagon is 6.9 cm2.

A regular pentagon has an apothem with length 1.38 centimeters and an area of 6.9 centimeters squared.

What is the perimeter?

2 cm
5 cm
10 cm
20 cm

Answer 1

Answer:

C: 10 cm

Step-by-step explanation:

Answer 2

The perimeter of a regular pentagon with apothem of 1.38 cm and area of 6.9 cm² is 10 cm.

Pentagon

Pentagon are polygons with five sides. A regular pentagon is equiangular. Therefore,

area of pentagon using apothem = 1  / 2 × perimeter × apothem

where

apothem = 1.38 cm

area  = 6.9 cm²

perimeter = ?

Therefore,

6.9 = 1 /  2 × 1.38p

cross multiply

2(6.9) = 1.38p

p = 13.8 / 1.38

p = 10 cm

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