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The area of a rectangle is 9 more than its perimeter. The length is 3 greater than 4 times the width. What is the area of the rectangle?

The answer says the area is 45 square units, and the length is 15, and the width is 3.

I have no idea how to even set up the equations. Any help?

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  • $\begingroup$ Let $L$ be the length. Let $W$ be the width. Now start turning sentences into equations. Try it, and report back to us! $\endgroup$ – Gerry Myerson Nov 30 '14 at 4:54
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Set the width to $w$. Then you can express the length in terms of $w$.
Then you can multiply those two terms to get the Area. Then add your expression for length to $w$ and double that to get perimeter. Set your expression for Area to your expression for perimeter + 9. Gather terms, factor, etc...

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  • $\begingroup$ Ahh, I see. Thank you. :) $\endgroup$ – user101750 Nov 30 '14 at 5:02

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