Question 24The interior of a quadrilateral is bounded by the graphs of $(x+ay)^2=4a^2$ and $(ax-y)^2=a^2,$ where $a$ is a positive real number. What is the area of this region in terms of $a,$ valid for all $a > 0?$$\dfrac{8a^2}{(a+1)^2}$$\dfrac{4a}{a+1}$$\dfrac{8a}{a+1}$$\dfrac{8a^2}{a^2+1}$$\dfrac{8a}{a^2+1}$