Problema Solution

The plans for a shed call for a rectangular floor with a perimeter of 296ft. The length is three times the width. Find the length and width.

Answer provided by our tutors

let


l = the length of the rectangular floor


w = the width of the rectangular floor


the perimeter of the floor is 296 ft means:


2(l + w) = 296 divide both sides by 2


l + w = 148


the length is three times the width:


l = 3w


by solving the system of equations:


l + w = 148


l = 3w


we find:


l = 111 ft


w = 37 ft


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the length is 111 feet.


the width is 37 feet.