Problema Solution

The length of a rectangle is 2 meters longer than the width. If the area is 34 square meters, find the rectangle's dimensions. Round to the nearest tenth of a meter.

Answer provided by our tutors

let


l = the length of the rectangle, l>0


w = the width of the rectangle, w>0


The length of a rectangle is 2 meters longer than the width:


l = 2 + w


the area is 34 square meters:


l*w = 34


plug l = 2 + w into the last equation:


(2 + w)w = 34


by solving we find:


w = 4.9 m


click here to see the step by step solution of the quadratic equation:


Click to see all the steps



l = 2 + 4.9


l = 6.9 m


the length is 6.9 meters and the width is 4.9 meters.