Problema Solution

The length of a rectangle is 7 meters longer than its width. what is the width of this rectangle if its perimeter is equal to 130 meters

Answer provided by our tutors

let


l = the length of the rectangle


w = the width of the rectangle


P = 130 m the perimeter of the rectangle


the length of a rectangle is 7 meters longer than its width:


l = 7 + w


the perimeter of a rectangle is P = 2(l + w) thus


2(l + w) = 130 divide both sides by 2


l + w = 65


by solving the system of equations:


l = 7 + w


l + w = 65


we find:


l = 36 m


w = 29 m


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the width of the rectangle is 29 meters.