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

Mathematics

1 answer:

Assoli18 [71]3 years ago

8 0

Answer:

Area of the given regular pentagon is 61.5 cm².

Step-by-step explanation:

Area of a regular polygon is given by,

Area = $\frac{1}{2}aP$

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 = $\frac{1}{2}(4.1)(30)$

= 61.5 cm²

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

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