Problema Solution
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(pi) square feet, find its width.
Answer provided by our tutors
let
w = the width of the deck, w>0
d = 28 ft the diameter of the pool
d = 2r, where r is the radius of the pool
r = 28/2 = 14 ft
the area of the deck = the area of the deck and pool together - the area of the pool
60 pi = (r + w)^2 pi - r^2 pi divide both sides by pi
(14 + w)^2 - 14^2 = 60
by solving we find
w = 2 ft
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the width of the deck is 2 feet.