The area (in sq. units) of the region $\{ (x, y) : x \geq 0, \; x + y \leq 3, \; x^2 \leq 4y$ and $y \leq 1 + \sqrt{x} \}$ is :

Question

( A ) $\frac{5}{2}$
( B ) $\frac{7}{3}$
( C ) $\frac{3}{2}$
( D ) $\frac{59}{12}$