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Year 10 Area and Perimeter Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 10 area & perimeter worksheet.

Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Area & Perimeter

Year 10 Area and Perimeter Worksheet — Level 3 — Answers

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

1.A triangle has a base of 7 cm and a perpendicular height of 3 cm. Find its area.

Answer: 10.5 cm2

  1. A = ½ × base × height = ½ × 7 × 3
  2. = 10.5 cm2
2.A rectangle is 5 cm long and 8 cm wide. Find its area.

Answer: 40 cm2

  1. A = length × width = 5 × 8
  2. = 40 cm2
3.A triangle has a base of 18 mm and a perpendicular height of 14 mm. Find its area.

Answer: 126 mm2

  1. A = ½ × base × height = ½ × 18 × 14
  2. = 126 mm2
4.An L-shape is made from a 24 mm by 18 mm rectangle joined to a 5 mm by 17 mm rectangle. Find the total area.

Answer: 517 mm2

  1. Rectangle 1: 24 × 18 = 432
  2. Rectangle 2: 5 × 17 = 85
  3. Total: 432 + 85 = 517 mm2
5.A triangle has a base of 10 m and a perpendicular height of 14 m. Find its area.

Answer: 70 m2

  1. A = ½ × base × height = ½ × 10 × 14
  2. = 70 m2
6.An L-shape is made from a 3 m by 10 m rectangle joined to a 2 m by 12 m rectangle. Find the total area.

Answer: 54 m2

  1. Rectangle 1: 3 × 10 = 30
  2. Rectangle 2: 2 × 12 = 24
  3. Total: 30 + 24 = 54 m2
7.A triangle has a base of 14 mm and a perpendicular height of 13 mm. Find its area.

Answer: 91 mm2

  1. A = ½ × base × height = ½ × 14 × 13
  2. = 91 mm2
8.A triangle has a base of 18 cm and a perpendicular height of 14 cm. Find its area.

Answer: 126 cm2

  1. A = ½ × base × height = ½ × 18 × 14
  2. = 126 cm2
9.A triangle has a base of 15 m and a perpendicular height of 14 m. Find its area.

Answer: 105 m2

  1. A = ½ × base × height = ½ × 15 × 14
  2. = 105 m2
10.An L-shape is made from a 9 cm by 19 cm rectangle joined to a 6 cm by 4 cm rectangle. Find the total area.

Answer: 195 cm2

  1. Rectangle 1: 9 × 19 = 171
  2. Rectangle 2: 6 × 4 = 24
  3. Total: 171 + 24 = 195 cm2
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