By definition, the area of a rectangle is given by:
A = w * l
Where,
w: width
l: long
Substituting values we have:
70 = w * (2w-4)
Rewriting we have:
70 = 2w ^ 2-4w
2w ^ 2 - 4w - 70 = 0
Solving the polynomial we have:
w1 = -5
w2 = 7
We take the positive root because it is a dimension.
w = 7 inches
Then, the length will be:
l = 2w-4
l = 2 (7) -4
l = 14-4
l = 10 inches
Answer:
its demensions are:
w = 7 inches
l = 10 inches
