What is the area bounded by the curve $\sqrt{x}+\sqrt{y}=\sqrt{a}(x, y \geq 0)$ and the coordinate axes?

• A

  $\frac{5 a^2}{6}$
• B

  $\frac{a^2}{3}$
• C

  $\frac{a^2}{2}$
• Correct answer
  D

  $\frac{a^2}{6}$

Hence, the correct answer is option: 'D'.