Problema Solution

The perimeter of a rectangle is 160 ft. One fourth the length is the same as twice the width. Find the dimensions of the rectangle.

Answer provided by our tutors

let


l = the length of the rectangle


w = the width of the rectangle


The perimeter of a rectangle is 160 ft:


2(l + w) = 160


One fourth the length is the same as twice the width:


(1/4)l = 2w


by solving the system of equations:


2(l + w) = 160


(1/4)l = 2w


we find:


l = 71.11 ft


w = 8.89 ft


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the dimensions of the rectangle are: the length is 71.11 ft and the width is 8.89 ft.