Area of a trapezium

The Maths Habit

  1. Work out the area.

    42 cm2

  2. Work out the area.

    18 m2

  3. Work out the area.

    26 cm2

How many ways can you cut this shape into pieces whose areas you can already find?

Two triangles, or a rectangle and two triangles, or more

Trapezium
A four-sided shape with one pair of parallel sides.
Parallel
Lines that stay the same distance apart and never meet.

Area = ½ × (a + b) × h

Work out the area.

Work out the area.

A = ½ × (a + b) × height
A = ½ × (6 + 10) × 5 = 40 cm2
Answer40 cm2
A = ½ × (a + b) × height
A = ½ × (5 + 13) × 4 =36 cm2
Answer36 cm2
A = ½ × (a + b) × height
A = ½ × (6 + 10) × 5 = 40 cm2
Answer40 cm2
A = ½ × (a + b) × height
A = ½ × (7 + 9) × 6 = 48 cm2
Answer48 cm2
A = ½ × (a + b) × height
A = ½ × (6 + 10) × 5 = 40 cm2
Answer40 cm2
A = ½ × (a + b) × height
A = ½ × (4 + 11) × 6 = 45 cm2
Answer45 cm2
A = ½ × (a + b) × height
A = ½ × (6 + 10) × 5 = 40 cm2
Answer40 cm2
A = ½ × (a + b) × height
A = ½ × (5.5 + 8.5) × 3 = 21 cm2
Answer21 cm2
A = ½ × (a + b) × height
A = ½ × (6 + 10) × 5 = 40 cm2
Answer40 cm2
A = ½ × (a + b) × height
A = ½ × (3 + 8) × 5 = 27.5 cm2
Answer27.5 cm2

Area of 2D shapes worksheet, page 1

Area of 2D shapes worksheet, page 2

Answer sheet

  1. A trapezium has an area of 60 cm2. Its parallel sides are 7 cm and 13 cm. What is its height?

    6 cm

  2. The parallel sides of a trapezium are x cm and 3x cm. Its height is 4 cm and its area is 48 cm2. Work out x.

    6

  1. Work out the area of the trapezium.

    28 cm2
    4 cm9 cm5 cm

  2. Work out the area of the trapezium.

    78 cm2
    12 cm4 cm9 cm13 cm

  3. A trapezium has parallel sides of 3 cm and 7 cm. Its area is 40 cm². Find its perpendicular height.

    8 cm
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