Find the area of the regular pentagon.

Area = 61.5 cm²

Step-by-step explanation:

Since the Pentagon is regular, then all its sides are equal. The perimeter of the Pentagon is the sum of its sides.

Perimeter = 5 × 6 = 30 cm

The formula for determining the area of a polygon is expressed as

Area = apotherm × perimeter/2

The apotherm us the perpendicular line from the midpoint of the Pentagon.

Apotherm = 4.1 cm

Therefore,

Area = 4.1 × 30/2 = 61.5 cm² to the nearest tenth

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