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Year 9 Area and Perimeter Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 9 area & perimeter worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Area & Perimeter

Year 9 Area and Perimeter Worksheet — Level 3 — Answers

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

1.An L-shape is made from a 28 m by 17 m rectangle joined to a 6 m by 3 m rectangle. Find the total area.

Answer: 494 m2

  1. Rectangle 1: 28 × 17 = 476
  2. Rectangle 2: 6 × 3 = 18
  3. Total: 476 + 18 = 494 m2
2.A triangle has a base of 4 mm and a perpendicular height of 15 mm. Find its area.

Answer: 30 mm2

  1. A = ½ × base × height = ½ × 4 × 15
  2. = 30 mm2
3.An L-shape is made from a 19 mm by 8 mm rectangle joined to a 11 mm by 2 mm rectangle. Find the total area.

Answer: 174 mm2

  1. Rectangle 1: 19 × 8 = 152
  2. Rectangle 2: 11 × 2 = 22
  3. Total: 152 + 22 = 174 mm2
4.An L-shape is made from a 18 cm by 14 cm rectangle joined to a 2 cm by 18 cm rectangle. Find the total area.

Answer: 288 cm2

  1. Rectangle 1: 18 × 14 = 252
  2. Rectangle 2: 2 × 18 = 36
  3. Total: 252 + 36 = 288 cm2
5.A rectangle is 6 m long and 16 m wide. Find its area.

Answer: 96 m2

  1. A = length × width = 6 × 16
  2. = 96 m2
6.A triangle has a base of 8 mm and a perpendicular height of 9 mm. Find its area.

Answer: 36 mm2

  1. A = ½ × base × height = ½ × 8 × 9
  2. = 36 mm2
7.An L-shape is made from a 21 cm by 10 cm rectangle joined to a 5 cm by 6 cm rectangle. Find the total area.

Answer: 240 cm2

  1. Rectangle 1: 21 × 10 = 210
  2. Rectangle 2: 5 × 6 = 30
  3. Total: 210 + 30 = 240 cm2
8.An L-shape is made from a 7 mm by 16 mm rectangle joined to a 4 mm by 11 mm rectangle. Find the total area.

Answer: 156 mm2

  1. Rectangle 1: 7 × 16 = 112
  2. Rectangle 2: 4 × 11 = 44
  3. Total: 112 + 44 = 156 mm2
9.An L-shape is made from a 14 mm by 11 mm rectangle joined to a 2 mm by 16 mm rectangle. Find the total area.

Answer: 186 mm2

  1. Rectangle 1: 14 × 11 = 154
  2. Rectangle 2: 2 × 16 = 32
  3. Total: 154 + 32 = 186 mm2
10.A triangle has a base of 7 mm and a perpendicular height of 9 mm. Find its area.

Answer: 31.5 mm2

  1. A = ½ × base × height = ½ × 7 × 9
  2. = 31.5 mm2
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