Problema Solution

the length of a rectangle is 5 more than 3 times its width. the perimeter is 170 feet. find the dimensions of the rectangle.

Answer provided by our tutors

let


l = the length of the triangle, l>0


w = the width of the triangle, w>0


the length of a rectangle is 5 more than 3 times its width.


l = 5 + 3w


the perimeter is 170 feet.


2(l + w) = 170


by solving the system of equations:


l = 5 + 3w


2(l + w) = 170


we find:


l = 65 ft


w = 20 ft


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the dimensions of the rectangle are: the length is 65 feet and the width is 20 feet.