Problema Solution
A rectangular swimming pool is 4 feet deep. One side of the pool is 4.5 times longer than the other. The amount of water needed to fill the swimming pool is 1800 cubic feet. Find the dimensions of the pool.
Answer provided by our tutors
let
h = 4 ft depth
w = the width of the pool
l = the length of the pool
one side of the pool is 4.5 times longer than the other
l = 4.5*w
the amount of water needed to fill the swimming pool is 1800 cubic feet that is V = 1800 ft^2
V = w*l*h
4*w*l = 1800
plug l = 4.5*w into the last equation
4*4.5*w*w = 1800
by solving we find
w = 10 ft
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l = 4.5*10
l = 45 ft
the dimensions of the pool are 45 ft and 10 ft.