find the dimensions of the rectangle.

Question

The Area of a rectangle is 27 m^2, and the length of the rectangle is 3 meters less than twice the width.

Answer 1

Hi John,

 

Let the width be x meters. Then, the length will be (2x - 3) meters.

x(2x - 3) = 27

2x^2 - 3x = 27

2x^2 - 3x - 27 = 0

(2x - 9)(x + 3) = 0

x + 3 = 0 will not work since we get x = -3. It can't be a dimension.

2x - 9 - 0

2x = 9

x = 4.5 m (this is the width)

length = 2*4.5 - 3

= 6 m