If the area of the region $$\left\{\left(x,y\right): 1-2x \leq y \leq4-x^{2}, x\geq 0, y\geq0 \right\} \text{is} \frac{\alpha}{\beta} , \alpha,\beta \epsilon N, \text{gcd} \left(\alpha,\beta\right)=1, \text{then the value of } \left(\alpha+\beta\right) \text{is}$$

A

91

B

67

C

85

D

73