To the nearest tenth of square inch, find the area of the regular pentagon whose apothemmeasures 4.2 inches and whose sides measure 6.2 inches.
A)64.2
B)65.1
C)97.6
D)130.2

Question

To the nearest tenth of square inch, find the area of the regular pentagon whose apothemmeasures 4.2 inches and whose sides measure 6.2 inches.
A)64.2 
B)65.1 
C)97.6 
D)130.2

Quizplus · Accepted Answer

The formula to find the area of a regular pentagon is:
Area = (1/2) × Perimeter × Apothem
Since the pentagon in the question is regular, all sides are equal in length. Therefore, the perimeter will be:
Perimeter = 5 × side length = 5 × 6.2 = 31 inches
Plugging in the given values, we get:
Area = (1/2) × 31 × 4.2 = 65.1 square inches
Rounding off to the nearest tenth, we get the answer as 65.1 square inches. Therefore, option B is the correct answer.

To the Nearest Tenth of Square Inch, Find the Area