Question Number 197499 by cherokeesay last updated on 19/Sep/23
Answered by HeferH last updated on 19/Sep/23
$$\: \\ $$$$\:\frac{{x}}{{r}}\:=\:\frac{\mathrm{4}{r}}{\mathrm{5}{r}}\:\:\Rightarrow\:{x}\:=\:\frac{\mathrm{4}{r}}{\mathrm{5}}\: \\ $$$$\:{Green}\:=\:{Sqr}/\mathrm{2}\:−\:\frac{\mathrm{4}{r}}{\mathrm{5}}\:\centerdot\:\mathrm{4}{r}\:\centerdot\frac{\mathrm{1}}{\mathrm{2}}\: \\ $$$$\:{Green}\:=\:\frac{\mathrm{16}{r}^{\mathrm{2}} }{\mathrm{2}}\:−\frac{\mathrm{16}{r}^{\mathrm{2}} }{\mathrm{10}}\:=\:\frac{\mathrm{4}\centerdot\mathrm{16}{r}^{\mathrm{2}} }{\mathrm{10}}\:=\:\frac{\mathrm{32}{r}^{\mathrm{2}} }{\mathrm{5}} \\ $$