Problema Solution

The length of a rectangle is 3 feet less than twice the width of the rectangle. If the perimeter of the rectangle is 114 feet, find the width and the length.

Answer provided by our tutors

let


l = the length of the rectangle

w = the width of the rectangle


the length of a rectangle is 3 feet less than twice the width of the rectangle


l = 2w - 3


the perimeter of the rectangle is 114 feet


2(l + w) = 114 divide both sides by 2


l + w = 57


by solving the system of equations


l = 2w - 3

l + w = 57


we find


l = 37 ft


w = 20 ft


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the length is 37 feet while the width is 20 feet.