Choose exam board for KS4 Computer Science (GCSE)
Choose exam board for KS4 English
Choose exam board for KS4 French
Choose exam board for KS4 Geography
Choose exam board for KS4 German
Choose exam board for KS4 History
Choose tier for KS4 Maths
Choose exam board for KS4 Music
Choose exam board for KS4 Physical education (GCSE)
Choose exam board for KS4 Religious education (GCSE)
Choose exam board for KS4 Spanish
      New
      New

      Calculating missing side lengths from the area of a trapezium

      I can calculate a missing side length from the area of a trapezium.

      Lesson 11 of 12
      New
      New
      • Year 7

      Calculating missing side lengths from the area of a trapezium

      I can calculate a missing side length from the area of a trapezium.

      Lesson details

      Key learning points

      1. The formula can be used to calculate the area of a trapezium.
      2. The area of a trapezium can be used to calculate a missing side length.
      3. It cannot be used to calculate one of the slanted sides.

      Keywords

      • Trapezium - A trapezium is a quadrilateral with exactly one pair of parallel opposite sides.

      • Trapezia/trapeziums - The plural of trapezium can be referred to as trapezia or trapeziums.

      Common misconception

      Pupils may forget to divide by 2 when calculating the area of a trapezium.

      The area of a trapezium is half of the area of the parallelogram formed from two identical trapeziums.

      In this lesson, one form of the area formula is used. You should use an alternative form if your pupils would be more comfortable doing so. This form was chosen as it allows pupils to practise simplifying fractions should they wish.
      Teacher tip

      Equipment

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

      Lesson video

      Loading...

      Prior knowledge starter quiz

      6 Questions

      Q1.
      Calculate the area of the trapezium (you do not need to state the units).

      An image in a quiz
      Correct Answer: 29.75, 29.75 cm$$^2$$

      Q2.
      Calculate the area of the trapezium (you do not need to state the units).

      An image in a quiz
      Correct Answer: 32, 32 cm$$^2$$

      Q3.
      Calculate the area of the trapezium (you do not need to state the units).

      An image in a quiz
      Correct Answer: 46, 46 cm$$^2$$

      Q4.
      Calculate the area of the trapezium (you do not need to state the units).

      An image in a quiz
      Correct Answer: 56, 56 cm$$^2$$

      Q5.
      Calculate the area of the trapezium (you do not need to state the units).

      An image in a quiz
      Correct Answer: 77, 77 cm$$^2$$

      Q6.
      Calculate the area of the trapezium (you do not need to state the units).

      An image in a quiz
      Correct Answer: 34.5, 34.5 cm$$^2$$

      Assessment exit quiz

      6 Questions

      Q1.
      Calculate the area of the trapezium (you do not need to state the units).

      An image in a quiz
      Correct Answer: 10, 10 cm$$^2$$

      Q2.
      Calculate the area of the trapezium (you do not need to state the units).

      An image in a quiz
      Correct Answer: 13.125, 13.125 cm$$^2$$

      Q3.
      Calculate the area of the trapezium (you do not need to state the units).

      An image in a quiz
      Correct Answer: 9.35, 9.35 cm$$^2$$

      Q4.
      What is the value of $$b$$?

      An image in a quiz
      Correct answer: 4
      14
      16
      32

      Q5.
      What is the value of $$d$$?

      An image in a quiz
      5
      5.5
      6
      Correct answer: 7

      Q6.
      What is the value of $$h$$?

      An image in a quiz
      3
      5
      9
      Correct answer: 11

      Lesson appears in

      UnitMaths / Perimeter and area