Problema Solution

the perimeter of my new swimming pool is 52ft. the length of the pool is two more than triple th e width. what are the length, width, and area of the pool?

Answer provided by our tutors

We will consider rectangular swimming pool.

Let


'l' = the length of the swimming pool

'w' = the width of the swimming pool

A = w*l the area of the rectangular swimming pool.

P = 2(w+l) the perimeter of the pool


2*(l+w) = 52

l = 2 + 3*w


By solving this system of equations we find


l = 20 ft

w = 6 ft


A = 20*6 = 120 ft^2


the length is 20 ft.

the width is 6 ft.

the area is 120 ft^2.