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Area of triangles and quadrilaterals – practice for Years 7–9

Sample questions on Area of triangles and quadrilaterals with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject
Maths
Year
Years 7–9
Curriculum area
Geometry and measures

Question types: Area of a triangle, parallelogram and trapezium

Rule: Area of triangles and quadrilaterals

Triangle: A = a × h ÷ 2. Parallelogram: A = a × h. Trapezium: A = (a + c) × h ÷ 2.

The height h is at right angles to side a; the slanted side does not go into the formula.

Example: Trapezium a = 8 cm, c = 4 cm, h = 5 cm: (8 + 4) × 5 ÷ 2 = 30 cm²

Watch out: For a triangle, remember to halve: a = 6 cm, h = 4 cm gives 12 cm², not 24 cm².

Sample questions

  1. Question 1 Easy

    Work out the area of the triangle in the picture.

    a = 12 cmh = 4 cm
    Show the solution
    Answer: 24 cm²

    How it works: A = a × h ÷ 2 = 12 × 4 ÷ 2 = 24 cm²

  2. Question 2 Normal

    Work out the area of the triangle in the picture.

    a = 9 cmh = 12 cmb = 13 cm
    Show the solution
    Answer: 54 cm²

    How it works: A = a × h ÷ 2 = 9 × 12 ÷ 2 = 54 cm²

  3. Question 3 Hard

    Work out the area of the triangle in the picture.

    a = 11.8 cmh = 6 cm
    Show the solution
    Answer: 35.4 cm²

    How it works: A = a × h ÷ 2 = 11.8 × 6 ÷ 2 = 35.4 cm²

Related topics

All Maths topics

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