Area, SM-Bank 095

A cement slab is laid in Yvette's backyard that forms an 8 metre by 4 metre rectangle.

Yvette is going to lay a 0.25 metre wide path around the full perimeter of her slab.

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

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She is covering the path with artificial grass at a cost of $45 per square metre. Calculate the cost of laying turf on the path. (1 mark)

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Show Answers Only

a. $6.25\ \text{m}^2$

b. $$281.25$

Show Worked Solution

a.	$\text{Area of path}$	$=2\times (8\times 0.25)+2\times (4\times 0.25)+4\times (0.25^2)$
		$=4+2+0.25$
		$=6.25\ \text{m}^2$

b.	$\text{Cost of artificial turf}$	$=6.25\times $45$
		$=$281.25$

a.	\(\text{Area of path}\)	\(=2\times (8\times 0.25)+2\times (4\times 0.25)+4\times (0.25^2)\)
		\(=4+2+0.25\)
		\(=6.25\ \text{m}^2\)

b.	\(\text{Cost of artificial turf}\)	\(=6.25\times $45\)
		\(=$281.25\)