GCSE · Perimeter, area & volume

Area of triangles, parallelograms & trapeziaExam-style questions

Why every straight-sided area formula is a rectangle in disguise — base times PERPENDICULAR height, the trapezium average, compound shapes by splitting or subtracting, and why 1 m² is 10 000 cm².

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14 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 2Level 3Level 4
  1. 1
    Amara is going to sow grass seed on a rectangular lawn.15 m8 mDiagram NOT accurately drawn

    Each box of grass seed covers 1414 m² of lawn. Each box costs £5.25.

    Work out the total cost of the grass seed Amara needs. You must show all your working.
    Level 4 · 5 marksTry it
  2. 2
    The diagram shows a rectangle 1212 cm by 88 cm. A triangle with base 66 cm and height 88 cm is removed from the rectangle. The remaining region is shaded.12 cm8 cm6 cmDiagram NOT accurately drawn

    Work out the shaded area.
    Level 4 · 3 marksTry it
  3. 3
    A garden is a trapezium with parallel sides 66 m and 1010 m, and perpendicular height 4.54.5 m.

    Turf costs £8.998.99 per square metre.

    Work out the total cost of turfing the garden.
    Level 4 · 3 marksTry it