2) The courtyard of Luigi's house has the shape of an isosceles right triangle. Knowing that the area of the courtyard is $16 \mathrm{~m}^{2}$, what is the length of the longest side of the courtyard?
(A) $2 \mathrm{~m}$
(B) $4 \mathrm{~m}$
(C) $4 \sqrt{2} \mathrm{~m}$
(D) $8 \mathrm{~m}$
(E) $8 \sqrt{2} \mathrm{~m}$
2. The answer is $(\mathbf{D})$.

Let $L$ be the length of the two legs of the triangle representing the courtyard of Luigi's house. We have $\frac{L^{2}}{2}=16 \mathrm{~m}^{2}$ and thus $L=4 \sqrt{2} \mathrm{~m}$. The length of the hypotenuse is given by $\sqrt{2} L$, which is $8 \mathrm{~m}$.

[Problem proposed by S. Monica]