Problema Solution

find the length of a rectanglular lot with a perimeter of 108 meters if the length is 8 meters more than the width.

Answer provided by our tutors

Let


w = the width, w>0


l = the length, l>0


P = 108 m the perimeter


The length is 8 meters more than the width:


l = 8 + w


The perimeter P = 2(l + w)


2(l + w) = 108


We have the following system of equations:


l = 8 + w


2(l + w) = 108

........


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........

l = 31 m


w = 23 m


The length is 31 meters.