A table is in the shape of a regular pentagon with a side length of 3 feet and an
apothem of 2.06 ft. What is the area of the table? Round to the nearest tenth

Respuesta :

Answer:

15.5 ft²

Step-by-step explanation:

The area (A)  of a regular polygon is calculated as

A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )

Here side of regular pentagon is 3 ft, thus

perimeter = 5 × 3 = 15, so

A = 0.5 × 15 × 2.06 ≈ 15.5 ft ( to the nearest tenth )