The diagram shows part of the curve \(y=32 x-4 x^{2}-48\) and the line \(A B\). The curve and the line \(A B\) meet the \(x\)-axis at \(A\) and meet again at the point \(B(5,12)\). The line \(C D\) extended is parallel to the \(y\)-axis and passes through the maximum point of the curve. Find the area of the shaded region.

Continuation of working space for Question 9.