Question

The length of a rectangle is 3m less than twice its width, and the area of the rectangle is 27m^2 . Find the dimensions of the rectangle.

Answer 1

area of rectangle = w*l
in your question:
l = 2w-3 -> length equals twice width less 3
substitute in area = w*l

area = w*(2w-3) = 27

w^2 = 27 + 3
w^2 = 30
w = sqrt(30)

if w = sqrt(30)

from

area = w*l = 27

l = 27 / sqrt(30)