# Question #9c271

The upper left and lower right have $y = - x$ rather than $y = x$.
$4 x + {y}^{2} = 32$ is a horizontal parabola.
The area is ${\int}_{-} {8}^{4} \left(\frac{32 - {y}^{2}}{4} - y\right) \mathrm{dy} = 72$