Area, SM-Bank 096

Luke builds a rectangular wooden deck in his backyard, with dimension 12 metres by 5 metres.

Luke is going to create a 0.5 metre wide path around the full perimeter of his deck.

What is the total area of the path in square metres? (2 marks)

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He is creating the path using pavers at a cost of $92 per square metre. Calculate the cost of the pavers. (1 mark)

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Show Answers Only

a. $18\ \text{m}^2$

b. $$1656$

Show Worked Solution

a.	$\text{Area of path}$	$=2\times (12\times 0.5)+2\times (5\times 0.5)+4\times (0.5^2)$
		$=12+5+1$
		$=18\ \text{m}^2$

b.	$\text{Cost of pavers}$	$=18\times $92$
		$=$1656$

a.	\(\text{Area of path}\)	\(=2\times (12\times 0.5)+2\times (5\times 0.5)+4\times (0.5^2)\)
		\(=12+5+1\)
		\(=18\ \text{m}^2\)

b.	\(\text{Cost of pavers}\)	\(=18\times $92\)
		\(=$1656\)