Problema Solution

the length of a rectangular region is 20 meters less than four times its width. if the perimeter of the region is 135 meters, fond the dimensions of the region.

Answer provided by our tutors

let


l = the length of the region

w = the width of the region

P = 135 m the perimeter


the length of a rectangular region is 20 meters less than four times its width


l = 4w - 20


the perimeter of the region is 135 meters


2(l + w) = 135


by solving the system of equations


l = 4w - 20

2(l + w) = 135


we find


l = 50 m


w = 17.5 m


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the length is 50 meters and the width is 17.5 meters.