Question

The length of a rectangle is 1 M less than twice its width, and the area of the rectangle is 55 M^2 . Find the dimensions of the rectangle.

Answer 1

First step to such word problems is represent
We let w = width of the rectangle, what then is the length?

Answer 2

The length is 2w - 1, since the length is 1 M less than twice its width

Answer 3

Area = 55 = w(2w - 1)
0 = 2w^2 - w - 55
w = [1 + sqrt (1 + 440)]/4
w = (1 + 21)/4
w = (22/4) = 5.5
w = 5.5 is the width
2w - 1 = 10 is the length