Area, SM-Bank 138

A path 1.8 m wide is being built around a rectangular garden. The garden is 8.4 m long and 5.4 m wide. The path is shaded in the diagram.

Calculate the area of the path in square metres. (2 marks)

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\(62.64\ \text{m}^2\)

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\(\text{Length of large rectangle}=1.8+8.4+1.8=12\ \text{m}\)

\(\text{Width of large rectangle}=1.8+5.4+1.8=9\ \text{m}\)

\(\text{Shaded Area}\)	\(=\text{Large rectangle}-\text{garden area}\)
	\(=12\times 9-8.4\times5.4\)
	\(=108-45.36\)
	\(=62.64\ \text{m}^2\)