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Question Number 131624 by mr W last updated on 06/Feb/21

Commented by mr W last updated on 06/Feb/21

an old unsolved question

$${an}\:{old}\:{unsolved}\:{question} \\ $$

Commented by MJS_new last updated on 07/Feb/21

I′ll try...

$$\mathrm{I}'\mathrm{ll}\:\mathrm{try}... \\ $$

Commented by MJS_new last updated on 08/Feb/21

I get blue area=4A  α is the rotation angle of the red square  ⇒  area of the left square is (1+8sin^2  α)A  area of the right square is (1+8cos^2  α)A

$$\mathrm{I}\:\mathrm{get}\:\mathrm{blue}\:\mathrm{area}=\mathrm{4}{A} \\ $$$$\alpha\:\mathrm{is}\:\mathrm{the}\:\mathrm{rotation}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{the}\:\mathrm{red}\:\mathrm{square} \\ $$$$\Rightarrow \\ $$$$\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{left}\:\mathrm{square}\:\mathrm{is}\:\left(\mathrm{1}+\mathrm{8sin}^{\mathrm{2}} \:\alpha\right){A} \\ $$$$\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{right}\:\mathrm{square}\:\mathrm{is}\:\left(\mathrm{1}+\mathrm{8cos}^{\mathrm{2}} \:\alpha\right){A} \\ $$

Commented by mr W last updated on 08/Feb/21

thanks sir!

$${thanks}\:{sir}! \\ $$

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