Area of a trapezium | Maths | Quizalize & Oak National Academy

Starter quiz

The perpendicular height is the perpendicular ______ from the base to the opposite vertex.
- 'distance' ✓
Calculate the area of a triangle with a base of 12 cm and a perpendicular height of 15 cm.
- 90 cm $^2$ ✓
- 180 cm $^2$
- 13.5 cm
- 27 cm
Calculate the area of the triangle.
- 54 cm $^2$
- 55 cm $^2$ ✓
- 60 cm $^2$
- 66 cm $^2$
You can write a ______ to calculate the area in an efficient way.
- 'formula' ✓
Calculate the area of this compound rectilinear shape (you do not need to state the units).
- '5' ✓
Calculate the area of this compound rectilinear shape (you do not need to state the units).
- '66' ✓

A trapezium is a ______ with exactly one pair of parallel opposite sides.
- 'quadrilateral' ✓
Any trapezium can be made using a rectangle and a ______
- 'triangle' ✓
True or false? The formula for the area of a trapezium has to be written as ${1\over2} \times (a + b) \times h$
- True
- False ✓
Calculate the area of the trapezium (you do not need to state the units).
- '12' ✓
Calculate the area of the trapezium (you do not need to state the units).
- '47.5' ✓
Calculate the area of the trapezium (you do not need to state the units).
- '80' ✓

Loading worksheet ...

Loading presentation ...

The area of some trapezia can be found by using compound shapes.
It is possible to find a relationship between trapizea and parallelograms.
The relationship between parallelograms and trapezia can be used to deduce the formula for the area of a trapezium.
The formula can be used to calculate the area of a trapezium.

Pupils may incorrectly identify the base of the triangle in the trapezium.

Drawing a trapezium on paper, colouring the sides and cutting it will help them see where the base of the triangle comes from.

Trapezium - A trapezium is a quadrilateral with a pair of parallel opposite sides.
Trapezia/trapeziums - The plural of trapezium can be referred to as trapezia or trapeziums.