April 13, 2023

Areas

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3. The area of a trapezium.

April 13, 2023

A trapezium has one pair of parallel sides.

You can divide a trapezium into two triangles.

If the opposite and parallel sides form the base of each triangle, they both have the same perpendicular height.

You can move one triangle, so both basses form a single line.

Area of a trapezium = 12 length of both parallels× h×

a

b

h

a + b( )

Explanation

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April 13, 2023

Area of a trapezium = 12 × a + b( )h

Find the area of this trapezium.3.8 cm

6.2 cm

3 cm

= 12

6.2

3 cm

3.8

×+( )= 12

× 10 × 3 cm²

²

=

15 cm²

Example

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