Question Number 207184 by cherokeesay last updated on 08/May/24
Answered by Ismoiljon_008 last updated on 08/May/24
$$\:\:\:\frac{\mathrm{5}}{\mathrm{24}} \\ $$
Answered by mr W last updated on 08/May/24
Commented by mr W last updated on 08/May/24
$${a}=\sqrt{\mathrm{1}^{\mathrm{2}} +\mathrm{3}^{\mathrm{2}} }=\sqrt{\mathrm{10}} \\ $$$$\frac{{b}}{\mathrm{2}}=\frac{{a}}{\mathrm{3}}\:\Rightarrow{b}=\frac{\mathrm{2}\sqrt{\mathrm{10}}}{\mathrm{3}} \\ $$$${green}\:{area}\:=\frac{{ab}}{\mathrm{2}}=\frac{\mathrm{10}}{\mathrm{3}} \\ $$$${area}\:{of}\:{square}\:=\mathrm{4}×\mathrm{4}=\mathrm{16} \\ $$$${fraction}\:=\frac{\mathrm{10}}{\mathrm{3}×\mathrm{16}}=\frac{\mathrm{5}}{\mathrm{24}}\:\checkmark \\ $$
Commented by cherokeesay last updated on 08/May/24
$${nice},\:{thank}\:{you}\:{master}. \\ $$
Commented by cherokeesay last updated on 08/May/24
$${thank}\:{you}\:! \\ $$