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Year 7 Area and Perimeter Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 7 area & perimeter worksheet.

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Year 7 · Mathematics · Area & Perimeter

Year 7 Area and Perimeter Worksheet — Level 3 — Answers

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Write the formula, substitute, then calculate. Include units.

1.A rectangle is 19 m long and 15 m wide. Find its area.

Answer: 285 m2

  1. A = length × width = 19 × 15
  2. = 285 m2
2.An L-shape is made from a 25 cm by 16 cm rectangle joined to a 15 cm by 5 cm rectangle. Find the total area.

Answer: 475 cm2

  1. Rectangle 1: 25 × 16 = 400
  2. Rectangle 2: 15 × 5 = 75
  3. Total: 400 + 75 = 475 cm2
3.A triangle has a base of 8 mm and a perpendicular height of 6 mm. Find its area.

Answer: 24 mm2

  1. A = ½ × base × height = ½ × 8 × 6
  2. = 24 mm2
4.A triangle has a base of 7 m and a perpendicular height of 15 m. Find its area.

Answer: 52.5 m2

  1. A = ½ × base × height = ½ × 7 × 15
  2. = 52.5 m2
5.An L-shape is made from a 9 m by 16 m rectangle joined to a 4 m by 19 m rectangle. Find the total area.

Answer: 220 m2

  1. Rectangle 1: 9 × 16 = 144
  2. Rectangle 2: 4 × 19 = 76
  3. Total: 144 + 76 = 220 m2
6.An L-shape is made from a 23 mm by 4 mm rectangle joined to a 21 mm by 3 mm rectangle. Find the total area.

Answer: 155 mm2

  1. Rectangle 1: 23 × 4 = 92
  2. Rectangle 2: 21 × 3 = 63
  3. Total: 92 + 63 = 155 mm2
7.A rectangle is 17 mm long and 6 mm wide. Find its area.

Answer: 102 mm2

  1. A = length × width = 17 × 6
  2. = 102 mm2
8.An L-shape is made from a 10 m by 16 m rectangle joined to a 5 m by 13 m rectangle. Find the total area.

Answer: 225 m2

  1. Rectangle 1: 10 × 16 = 160
  2. Rectangle 2: 5 × 13 = 65
  3. Total: 160 + 65 = 225 m2
9.A triangle has a base of 15 cm and a perpendicular height of 14 cm. Find its area.

Answer: 105 cm2

  1. A = ½ × base × height = ½ × 15 × 14
  2. = 105 cm2
10.A rectangle is 14 mm long and 20 mm wide. Find its area.

Answer: 280 mm2

  1. A = length × width = 14 × 20
  2. = 280 mm2
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