9
\includegraphics[max width=\textwidth, alt={}, center]{b566719c-216e-41e5-8431-da77e1dad73e-3_554_723_1557_712}
The diagram shows a rectangle \(A B C D\). The point \(A\) is \(( 0 , - 2 )\) and \(C\) is \(( 12,14 )\). The diagonal \(B D\) is parallel to the \(x\)-axis.
- Explain why the \(y\)-coordinate of \(D\) is 6 .
The \(x\)-coordinate of \(D\) is \(h\).
- Express the gradients of \(A D\) and \(C D\) in terms of \(h\).
- Calculate the \(x\)-coordinates of \(D\) and \(B\).
- Calculate the area of the rectangle \(A B C D\).