Area, SM-Bank 063

A large mosaic tile artwork has been created inside a rectangle in the shape of a parallelogram as shown below.

Calculate the shaded area outside the parallelogram in square metres. (2 marks)

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Calculate the cost of tiling the shaded area if the tiles cost $85 per square metre. (2 marks)

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a. $42\ \text{m}^2$

b. $$3570$

Show Worked Solution

a.	$\text{Area to be tiled}$	$=\text{Area of rectangle}-\text{Area of parallelogram}$
		$=11\times 6-8\times 3$
		$=42\ \text{m}^2$

a.	\(\text{Area to be tiled}\)	\(=\text{Area of rectangle}-\text{Area of parallelogram}\)
		\(=11\times 6-8\times 3\)
		\(=42\ \text{m}^2\)