Area of a parallelogram

The Maths Habit

A rectangle is pushed over.
Has its area changed?

Yes, it is smaller

Parallelogram
A four-sided shape with two pairs of parallel sides.
Perpendicular height
The height measured at a right angle to the base.

Area = base × height

Work out the area.

Work out the area.

A = base × height
A = 14 × 6 = 84 cm2
Answer84 cm2
A = base × height
A = 10 × 8 =80 cm2
Answer80 cm2
A = base × height
A = 14 × 6 = 84 cm2
Answer84 cm2
A = base × height
A = 12 × 9 = 108 cm2
Answer108 cm2
A = base × height
A = 14 × 6 = 84 cm2
Answer84 cm2
A = base × height
A = 10 × 7 = 70 mm2
Answer70 mm2
A = base × height
A = 14 × 6 = 84 cm2
Answer84 cm2
A = base × height
A = 9.5 × 4 = 38 m2
Answer38 m2
A = base × height
A = 14 × 6 = 84 cm2
Answer84 cm2
A = base × height
A = 13 × 7 = 91 cm2
Answer91 cm2

Area of 2D shapes worksheet, page 1

Area of 2D shapes worksheet, page 2

Answer sheet

  1. A parallelogram has an area of 54 cm2 and a base of 9 cm. What is its height?

    6 cm

  2. A parallelogram has a base of 12 cm and an area of 60 cm2. A triangle has the same base and the same height. What is the area of the triangle?

    30 cm2

  3. Zara works out the area of a parallelogram with a base of 11 cm, sloping sides of 8 cm and a perpendicular height of 7 cm. She writes 11 × 8 = 88 cm2. Explain her mistake and find the correct area.

    She used the sloping side, not the perpendicular height. 77 cm2

Work out the area of each shape.

40 cm2 and 32 cm2

  1. Work out the area of the parallelogram.

    36 cm2
    4 cm9 cm5 cm

  2. Work out the area of the parallelogram.

    45 cm2
    6 cm7.5 cm6.5 cm

  3. The area is 63 cm². Find the height, h.

    h = 7 cm
    h9 cm
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