Question Number 205227 by Ari last updated on 13/Mar/24
Commented by Ari last updated on 13/Mar/24
$${colored}\:{surface}? \\ $$
Commented by cherokeesay last updated on 13/Mar/24
Answered by A5T last updated on 13/Mar/24
Commented by A5T last updated on 13/Mar/24
$$\left(\mathrm{10}+{x}\right)^{\mathrm{2}} =\mathrm{24}^{\mathrm{2}} +\mathrm{32}^{\mathrm{2}} \Rightarrow{x}=\mathrm{30}\: \\ $$$$\frac{\mathrm{30}}{\mathrm{40}}=\frac{{y}}{\mathrm{24}}\Rightarrow{y}=\mathrm{18}\: \\ $$$${x}^{\mathrm{2}} ={y}^{\mathrm{2}} +{z}^{\mathrm{2}} \Rightarrow{z}=\mathrm{24} \\ $$$$\Rightarrow{Area}=\frac{\left(\mathrm{18}+\mathrm{24}\right)×\mathrm{8}}{\mathrm{2}}=\mathrm{168} \\ $$