Question

Calcule a área de um quadrado cuja diagonal mede 4√5.

Answer 1

$\boxed{\begin{array}{l}\sf d=l\sqrt{2}\\\sf 4\sqrt{5}=l\sqrt{2}\\\sf l=\dfrac{4\sqrt{5}}{\sqrt{2}}\\\sf l=\dfrac{4\sqrt{10}}{2}=5\sqrt{10}\\\sf A=l^2\\\sf A=(5\sqrt{10})^2\\\sf A=250~u\cdot a\end{array}}$