Problema Solution

The length of a rectangle is

7 m

more than double the width, and the area of the rectangle is

99 m2

. 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


A = 99 m^2 the are of the rectangle


The length of a rectangle is 7 m more than double the width:


l = 7 + 2w


The area of the rectangle is 99 m^2:


l*w = 99


Plug l = t + 2w into the last equation:


(7 + 2w)*w = 99

........


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........

w = 5.5 m


l = 7 + 2*5.5


l = 18 m


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