Question

The length of a rectangle is 3m less than twice the width, and the area of the rectangle is 65m^2 . Find the dimensions of the rectangle.

Answer 1

W

L=2w-3

Area=(L×w)

65=[(2w-3)×w]

65 =(2w²-3w)

65=2w²-3w

2w²-3w-65=0

by using the quadratic equation

you'll get 2 values in which one will be negative

Obviously a length can't be negative so you take the positive.

w=6.5m

L=2(6.5)-3

=10m