SOLUTION: The length of a rectangle is 8 feet longer than its width which has the same dimensions as the sides of a square. If the area of the rectangle is equal to 160 square feet more than

Question 41226: The length of a rectangle is 8 feet longer than its width which has the same dimensions as the sides of a square. If the area of the rectangle is equal to 160 square feet more than the area of the square, what are the length and width of the rectangle?
Thank You.

Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
I am guessing that the width of the rectangle is equal to the sides of a square.
Side * Side = Area
w * w = a
w^2 = a
Also, the rectangle:
(w + 8)(w) = 160 + a
w^2 + 8w = 160 + a
w^2 + 8w - 160 = w^2
8w = 160
w = 20
Plug:
(w + 8) = length
20 + 8 = length
28 = length
Square: 20x20
Rectangle: 20x28
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