The diagram presents two trapeziums, A and B, on a grid where each square has area 1 $\text{cm}^2$.
(a)[2]
Find the area of trapezium A. Give the units of your answer.
(b(i))[3]
Describe fully the one transformation that maps trapezium A onto trapezium B.
(b(ii))[2]
On the grid, translate trapezium A by the vector $\begin{pmatrix}5 \\ -2\end{pmatrix}$.
(b(iii))[2]
On the grid, enlarge trapezium A with centre $(0, 0)$ and scale factor $0.5$.
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