Question

Find the area of the regular pentagon. 4.1 cm 6 cm Area = [?] cm? Enter your answer to the nearest tenth. ​

Answer 1

Area of the given regular pentagon is 61.5 cm².

Explanation:

Area of a regular polygon is given by,

Area =
`(1)/(2)aP`

Here, a = Apothem of the polygon

P = Perimeter of the polygon

Apothem of the regular pentagon given as 4.1 cm.

Side of the pentagon = 6 cm

Perimeter of the pentagon = 5(6)

= 30 cm

Substituting these values in the formula,

Area =
`(1)/(2)(4.1)(30)`

= 61.5 cm²

Therefore, area of the given regular pentagon is 61.5 cm².