SOLUTION: The length of a rectangle is 6 feet longer than it is wide. If each side is increased 6 feet, then the area is multiplied by 2. What was the size of the original rectangle?

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Question 1041883: The length of a rectangle is 6 feet longer than it is wide. If each side is increased 6 feet, then the area is multiplied by 2. What was the size of the original rectangle?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28L=w%2B6%2CA=w%2AL%29
A=w%28w%2B6%29
A=w%5E2%2B6w


system%28L%2B6%2Cw%2B6%2C2A=%28w%2B6%29%28L%2B6%29%29
-
2A=%28w%2B6%29%28%28w%2B6%29%2B6%29
2A=%28w%2B6%29%28w%2B12%29
2A=w%5E2%2B18w%2B72


system%282A=2w%5E2%2B12w%2C2A=w%5E2%2B18w%2B72%29
-
highlight%282w%5E2%2B12w=w%5E2%2B18w%2B72%29
Solve this for w, the width of the original rectangle.