Composite Figures, SM-Bank 018 MC

A pool area is in the shape of a rectangle and a semicircle, as shown below.

A fence is to be constructed around the perimeter of the pool area.

Which expression represents the length of fencing required, in terms of \(\large \pi\)?

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\(C\)

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\(\text{Perimeter}\)	\(=3\ \text{straight sides}+1\ \text{semicircle}\)
	\(=2\times 7+6+\Bigg(\dfrac{1}{2}\times \pi d\Bigg)\)
	\(=20+\Bigg(\dfrac{1}{2}\times \pi\times 6\Bigg)\)
	\(=20 +3\pi \)

\(\Rightarrow C\)