Question

A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm. A regular pentagon has an apothem with a length of 3 centimeters and a perimeter of 21.8 centimeters. What is the area of the pentagon, rounded to the nearest tenth? 13.8 cm2 17.3 cm2 32.7 cm2 69.0 cm2

Answer 1

Answer:

C. $32.7cm^{2}$

Step-by-step explanation:

Area = (Perimeter x apothem) / 2

Area = 21.8 x 3 / 2

Area = 65.4 / 2

Area = $32.7cm^{2}$

Answer 2

C. The area of the regular pentagon, rounded to the nearest tenth is 32.7 cm².

Area of the regular pentagon

The area of the regular pentagon is calculated as follows;

Area = aP/2

where;

• a is apothem of the pentagon
• P is perimeter of the pentagon

Area = (3 x 21.8)/2

Area = 32.7 cm²

Thus, the area of the regular pentagon, rounded to the nearest tenth is 32.7 cm².

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