8.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{a75c9ef7-b648-47be-bad1-fc8b315be3df-10_602_999_260_534}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows a rectangle \(A B C D\).
The point \(A\) lies on the \(y\)-axis and the points \(B\) and \(D\) lie on the \(x\)-axis as shown in Figure 1. Given that the straight line through the points \(A\) and \(B\) has equation \(5 y + 2 x = 10\)
- show that the straight line through the points \(A\) and \(D\) has equation \(2 y - 5 x = 4\)
- find the area of the rectangle \(A B C D\).