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Question Number 81421 by ajfour last updated on 12/Feb/20

Commented by ajfour last updated on 12/Feb/20

$$Ifbothrectangleshaveunit$$$$areas,findthesidelengthof$$$$theoutersquare.$$

Answered by ajfour last updated on 12/Feb/20

$$(s-x)x=1$$$$\left(x\sqrt{2}\right)\{s\sqrt{2}-2\sqrt{2}x\}=1$$$$equating$$$$2s-4x=s-x$$$$\Rightarrow x=s/3$$$$\Rightarrow \left(\frac{2s}{3}\right)\left(\frac{s}{3}\right)=1$$$$\Rightarrow s=\frac{3\sqrt{2}}{2}.$$

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