GCSE Mathematics (9-1)

19.1 Perimeter and area of 2D shapes — Practise

  1. Work out the perimeter of a rectangle with length 8 cm and width 3 cm.
  2. Work out the area of a rectangle measuring 7 cm by 5 cm.
  3. Work out the area of a triangle with base 10 cm and perpendicular height 6 cm.
  4. A parallelogram has base 9 cm and perpendicular height 4 cm. Work out its area.
  5. A trapezium has parallel sides 5 cm and 11 cm, with perpendicular height 4 cm. Work out its area.
  6. A rectangle is 12 m long and 7 m wide. Work out its perimeter.
  7. A compound shape is made from a 10 cm by 6 cm rectangle and a 4 cm by 3 cm rectangle joined without overlap. Work out its total area.
  8. A triangle has area 42 cm² and base 12 cm. Work out its perpendicular height.
Answers and concise solutions

1. Rectangle perimeter

Answer: 22 cm22\text{ cm}

2. Rectangle area

Answer: 35 cm235\text{ cm}^2

3. Triangle area

Answer: 30 cm230\text{ cm}^2

4. Parallelogram area

Answer: 36 cm236\text{ cm}^2

5. Trapezium area

Answer: 32 cm232\text{ cm}^2

6. Rectangle perimeter

Answer: 38 m38\text{ m}

7. Compound area

Answer: 72 cm272\text{ cm}^2

8. Triangle height

Answer: 7 cm7\text{ cm}

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