Problema Solution
The perimeter of a rectangular swimming pool is 86 m and its area is 450 m^2. Find the dimensions of the pool.
Answer provided by our tutors
let
w = the width of the swimming pool,w>0
l = the length of the swimming pool, l>0
l > w
The perimeter of a rectangular swimming pool is 86 m
2(l + w) = 86 divide both sides by 2
l + w = 43
l = 43 - w
its area is 450 m^2
l*w = 450
plug l = 43 - w into the last equation
(43 - w)*w = 450
by solving we find
w1 = 25 m
w2 = 18 m
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for w = 25 m we have l = 43 - 25 = 18 m and l<w thus w = 25 m is not a solution.
for w = 18 m we have l = 43 - 18 = 25 m, and 25 > 18, this is the solution of the problem.
the width is 18 meters.
the length is 25 meters.