Problema Solution
A rectangular swimming pool is 60 ft wide and 80 ft long. A nonskid surface of uniform width is to be installed around the pool. If there is 576 ft^2 of the nonskid material, how wide can the strip of the nonskid surface be?
Answer provided by our tutors
let
l = 80 ft the length of the pool
w = 60 ft with width of the pool
x = the width of the non-skid surface around the pool, x>0
there is 576 ft^2 of the nonskid material
(l + 2x)(w + 2x) - l*w = 576
(80 + 2x)(60 + 2x) - 80*60 = 576
by solving we find
x = 2 ft
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the non-skid surface shouldn't be more then 2 ft wide.