Problema Solution

The length of a rectangle is 8m less than three times the width, and the area of the rectangle is 35m^2. Find the dimensions of the rectangle.

Answer provided by our tutors

let


w = the width, w>0


l = the length, l>0


the length of a rectangle is 8m less than three times the width:


l = 3w - 8


the area of the rectangle is 35m^2:


l*w = 35


plug l = 3w - 8 into the last equation:


l*w = 35


(3w - 8)*w = 35


by solving we find:


w = 5 m


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l = 3*5 - 8


l = 7 m


the dimensions of the rectangle are: 7 meters and 5 meters.