I'd say just solve for n. But looking here
http://www.wolframalpha.com/input/?i=n^2%3D%281%2F2n%2B10%29%281%2F2n-2%29
it appears there is no solution. A typo in the problem?
Carla’s kitchen floor is in the shape of a perfect square. Her copycat brother, Carl, wants to re-model his kitchen so that it will have the same surface area as his sister, but his kitchen will be rectangular. The length of his floor is half the length of his sister’s, plus 10 feet. The width of his floor will be 2 feet smaller than half the length of his sister’s. Show your analysis as you determine the dimensions of the 2 kitchen floors.
I have set mine up to be n^2=(1/2n+10)(1/2n-2)
Which leaves me with 0=.75n+4n-20. But I'm not sure what to do?
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