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A decorator’s client requests a square rug for a living room. The rug should measure approximately 13.5 feet from one corner to the opposite corner. When searching for a rug, which approximate side length should the decorator select?

We know that since it's a square, the lenght size is the same on all sides. We can simply use pythagoras theorem:

a^2 + a^2 = 13.5^2

13.5^2 = 182,25‬

182,25 : 2 (because there are 2 'a') = 91,125

The square root of 91,125 is 9,55 feet.

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