2 squares. need to find a side

2 squares. need to find a side

Postby Guest » Thu Apr 01, 2021 5:43 pm

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

Postby nathi123 » Fri Apr 02, 2021 1:00 am

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

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