3.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{5eee32af-9b0e-428c-bbc6-1feef44e0e1e-06_881_974_255_495}
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\caption{Figure 1}
\end{figure}
Figure 1 shows the plan of a garden. The marked angles are right angles.
The six edges are straight lines.
The lengths shown in the diagram are given in metres.
Given that the perimeter of the garden is greater than 29 m ,
- show that \(x > 1.5 \mathrm {~m}\)
Given also that the area of the garden is less than \(72 \mathrm {~m} ^ { 2 }\),
- form and solve a quadratic inequality in \(x\).
- Hence state the range of possible values of \(x\).
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