Area, SM-Bank 012

Luke designs a table that is in the shape of a trapezium.

The dimensions of the table top are shown in the picture below.

What is the area of Luke's table top? (2 marks)

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\(880\ \text{cm}^2\)

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\(\text{Method 1: Composite}\)

\(\text{Area}\)	\(=\text{Area of rectangle}+2\times \text{Area of triangle}\)
	\(=(38\times 20) + 2\times\Bigg(\dfrac{1}{2}\times 6\times 20\Bigg)\)
	\(=760 + 120\)
	\(=880\ \text{cm}^2\)

\(\text{Method 2: Trapezium}\)