Question

find the perimeter and diagonal of a square whose area is equal to the area of a rectangle whose length is 9m and breadth is 4m

Answer 1

`Area\ of\ a\ rectangle:A_{\fbox{ }}=9m*4m=36m^2\\\\a-side\ of\ a\ square\\\\Area\ of\ a\ square:A_{\fbox{}}=a^2\\\\A_{\fbox{ }}=A_{\fbox{}}\Rightarrow a^2=36m^2\Rightarrow a=√(36m^2)\Rightarrow a=6m\\\\Perimeter\ of\ the\ square:P=4a\Rightarrow P=4*6m=\boxed{24m}\\\\Diagonal\ of\ the\ square:d=a\sqrt2\Rightarrow d=\boxed{6\sqrt2\ m}`