# 2 squares. need to find a side

### 2 squares. need to find a side

So basically. I have a math problem that really annoys me

Can any one help me solve it?
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### Re: 2 squares. need to find a side

Let the side on the larger square is x and side on the small square is y.Then $$x^{2}-y ^{2}=17; 4(x+y)=68 \Rightarrow x+y=17 \Rightarrow (x+y)(x-y)=17 \Rightarrow x-y=1$$
$$\Rightarrow x=1+y \Rightarrow (1+y) ^{2} -y ^{2} =17 \Leftrightarrow y=8 \Rightarrow x=1+8=9$$

nathi123

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