Question

A circular swimming pool with a diameter of 28 feet has a deck of uniform width built around it. If the area of the deck is 60 square feet, find its width.

• A. 3 feet
• B. 2.8 feet
• C. 2 feet
• D. 2.5 feet

Answer 1

Answer: (C)

2 feet

Answer 2

Let r be the radius of swimming pool and R be the radius of swimming pool with deck.
Area of swimming pool with deck
$\pi$R2 = $\pi$2+60$\pi$
= $\pi$142+60$\pi$= 256$\pi$
$\pi$R2 = 256$\pi$
R=16
Width of deck = 16−14 = 2 fect.
So the correct option is (C)