Problema Solution
The length of a rectangle is 1m less than twice the width, and the area of the rectangle is
21m
2
. Find the dimensions of the rectangle.
Answer provided by our tutors
Let
w = represents the width, w>=0
l = represent the length, l>=0
A = 21 m^2 the area of the rectangle
The length of a rectangle is 1m less than twice the width means:
l = 2w - 1
The formula for the area A is A = l*w thus we have:
l*w = 21
Plug l = 2w - 1 into l*w = 21:
(2w - 1)*w = 21
........
click here to see the equation solved for the width w
........
w = 3.5 m (We need to ignore the negative solution because the width can only be positive)
l = 2*3.5 - 1
l = 6 m
The dimensions of the rectangle are: the length is 6 meters and the width is 3.5 meters.