Year 10
Core
Year 10
Core

Area of compound shapes

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Lesson details

Key learning points

  1. In this lesson, students will find the area of compound shapes by dividing the shape up into simpler more easily recognisable shapes and finding the sum of their parts.

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3 Questions

Q1.
Work out the area of the trapezium.
An image in a quiz
110 cm²
Correct answer: 40 cm²
55 cm²
80 cm²
Q2.
Work out the area of the trapezium.
An image in a quiz
Correct answer: 180 cm²
240 cm²
360 cm²
480 cm²
Q3.
Which of the following dimensions of a triangle have the same area as the trapezium in the diagram?
An image in a quiz
Base 12 cm and perpendicular height 2 cm
Base of 8 cm and a sloped side of 6 cm
Perpendicular height of 6 cm and base of 4 cm
Correct answer: Perpendicular height of 8 cm and base of 6 cm

3 Questions

Q1.
Work out the area of the compound shape.
An image in a quiz
Correct answer: 138 cm²
165 cm²
27 cm²
Q2.
Work out the area of the compound shape.
An image in a quiz
36 cm²
Correct answer: 69 cm²
84 cm²
Q3.
The area of the compound shape is shown. Find the length of the side labelled x.
An image in a quiz
2 m
4 m
Correct answer: 5 m