Problema Solution

The length of a rectangle 7yd is more than twice the width, and the area of the rectangle is 99yd^2 . Find the dimensions of the rectangle.

Answer provided by our tutors

let


l = the length of the rectangle, l>0

w = the width of the rectangle, w>0


the area of a rectangle is 99 yd^2


l*w = 54


the length of the rectangle is 7 yds more than twice the width


l = 7 + 2w


plug l = 7 + 2w into l*w = 99


(7 + 2w)*w = 99


by solving we find


w = 5.5 yd


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l = 7 + 2*5.5


l = 18


the dimensions of the rectangle are: the length is 18 yd and the width is 5.5 yd.