Question

Un patrat are aria de 64 cm patrati . Calculati lungimea laturii si a diagonalei patratului.

Answer 1

$A=64 \ cm^2 \\ A=l^2 \\ l=\sqrt{A}=\sqrt{64 \ cm^2} \\ \Rightarrow \boxed{l=8 \ cm} \\ d^2=l^2+l^2=2l^2 \\ \Rightarrow d^2=2 \cdot A=2 \cdot 64 \ cm^2 \\ d^2=128 \ cm^2 \\ d=\sqrt{128 \ cm^2} \\ \Rightarrow \boxed{d=8\sqrt2 \ cm}$