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

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: The length of a rectangle is 8 feet longer than its width, which has the same dimension as the side of a square. If the area of the rectangle is equal to 160 square feet more than       Log On


   

Question 144939: The length of a rectangle is 8 feet longer than its width, which has the same dimension as the side 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?
(Draw a diagram.)
Answer by solver91311(24713) About Me  (Show Source):
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Let the width of the rectangle (and therefore the length of one side of the square) be w

So: %28w%2B8%29w=w%5E2%2B160. Expand, collect terms, then solve the result.