Problema Solution

The length of a rectangle is

3

m

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

54

m

2

. Find the dimensions of the rectangle.

Answer provided by our tutors

let


w = the width, w>0


3 + 2w = the length of the rectangle (3 m more than twice the width)


A = 54 m^2 the area of the rectangle


A = width*length


w(3 + 2w) = 54


by solving we find:


w = 4.5 m


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3 + 2*4.5 = 12 m


the dimensions of the rectangle are 4.5 meters and 12 meters.