The Area Of A Trapezium. A Trapezium is any closed shape which has two sides that are parallel and two sides that are not parallel.

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Presentation transcript:

The Area Of A Trapezium. A Trapezium is any closed shape which has two sides that are parallel and two sides that are not parallel.

We are now going to find a formula for the area of the trapezium: Cut the trapezium in half:

Rotate the top piece and move alongside the bottom piece What shape has been formed? So what is the area of the trapezium?

Replace the numbers with letters So to find the rule: A(trap) = (a + b) x ½ h

Example 1 Calculate the area of the trapezium below : 16cm 11cm 13cm Solution ( Using the formula). A(trap) = ( a + b ) x ½ h = ( 16 + 11 ) x ½ x 13 = 27 x 6.5 a = 16 = 175.5cm2 b =11 h = 13

What Goes In The Box ? 3 Find the area of the shapes below : 13cm (1) (2) Answers

What Goes In The Box ? 3 Find the area of the shapes below : 13cm (1) 20cm 13cm 10cm 165cm2 2.7m 5.4m 4.9m (2) 19.85m2 (to 2 d.p)