Question Number 190100 by normans last updated on 27/Mar/23
Commented by JDamian last updated on 27/Mar/23
they are not squares.
Answered by mr W last updated on 27/Mar/23
Commented by mr W last updated on 27/Mar/23
$$\frac{\mathrm{2}{x}}{\mathrm{3}}+\frac{\mathrm{5}{y}}{\mathrm{3}}=\mathrm{31} \\ $$$$\mathrm{2}{x}+\mathrm{5}{y}=\mathrm{93}\:\:\:...\left({i}\right) \\ $$$${y}+\frac{\mathrm{5}{x}}{\mathrm{3}}=\mathrm{30} \\ $$$$\mathrm{5}{x}+\mathrm{3}{y}=\mathrm{90}\:\:\:...\left({ii}\right) \\ $$$${from}\:\left({i}\right),\:\left({ii}\right): \\ $$$${x}=\mathrm{9} \\ $$$${y}=\mathrm{15} \\ $$$$\left(\mathrm{3}{a}\right)^{\mathrm{2}} ={x}^{\mathrm{2}} +{y}^{\mathrm{2}} \\ $$$$\Rightarrow{a}^{\mathrm{2}} =\frac{\mathrm{9}^{\mathrm{2}} +\mathrm{15}^{\mathrm{2}} }{\mathrm{3}^{\mathrm{2}} }=\mathrm{34}={area}\:{of}\:{small}\:{square} \\ $$
Commented by normans last updated on 28/Mar/23
$${excellent}\:{Sir} \\ $$