Let the area of the region {(x, y): x-2 y+4 ≥ 0, x+2 y^2 ≥ 0, x+4 y^2 ≤ 8, y ≥ 0} be m/n, where m and n are coprime numbers. Then m + n is equal to…

Let the area of the region $\displaystyle \left\{(x, y): x-2 y+4 \geqslant 0, x+2 y^2 \geqslant 0, x+4 y^2 \leq 8, y \geqslant 0\right\}$ be $\displaystyle \frac{m}{n}$, where $\displaystyle m$ and $\displaystyle n$ are coprime numbers. Then $\displaystyle \mathrm{m}+\mathrm{n}$ is equal to $\displaystyle \_\_\_\_$.