Problema Solution
A pool deck of uniform width is going to be built around a rectangular pool that is 20 Feet long and 15 feet wide. After the deck is built, a total of 414 square feet will be occupied. How wide is the deck encompassing the pool?
Answer provided by our tutors
let
x = the width of the deck, x>0
l = 20 ft the length of the pool
w = 15 ft the width of the pool
after the deck is built, a total of 414 square feet will be occupied
(l + 2x)(w + 2x) - lw = 414
(20 + 2x)(15 + 2x) - 20*15 = 414
by solving we find
x = 4.67 ft
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the deck encompassing the pool is 4.67 ft wide.