Year 8 Area and Perimeter Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 8 area & perimeter worksheet.
Year 8 Area and Perimeter Worksheet — Level 3 — Answers
Write the formula, substitute, then calculate. Include units.
1.A triangle has a base of 5 m and a perpendicular height of 4 m. Find its area.
Answer: 10 m2
- A = ½ × base × height = ½ × 5 × 4
- = 10 m2
2.A rectangle is 3 mm long and 8 mm wide. Find its area.
Answer: 24 mm2
- A = length × width = 3 × 8
- = 24 mm2
3.A rectangle is 23 mm long and 19 mm wide. Find its area.
Answer: 437 mm2
- A = length × width = 23 × 19
- = 437 mm2
4.A rectangle is 6 mm long and 13 mm wide. Find its area.
Answer: 78 mm2
- A = length × width = 6 × 13
- = 78 mm2
5.An L-shape is made from a 17 cm by 9 cm rectangle joined to a 3 cm by 2 cm rectangle. Find the total area.
Answer: 159 cm2
- Rectangle 1: 17 × 9 = 153
- Rectangle 2: 3 × 2 = 6
- Total: 153 + 6 = 159 cm2
6.An L-shape is made from a 29 cm by 7 cm rectangle joined to a 24 cm by 12 cm rectangle. Find the total area.
Answer: 491 cm2
- Rectangle 1: 29 × 7 = 203
- Rectangle 2: 24 × 12 = 288
- Total: 203 + 288 = 491 cm2
7.A rectangle is 22 cm long and 2 cm wide. Find its area.
Answer: 44 cm2
- A = length × width = 22 × 2
- = 44 cm2
8.An L-shape is made from a 22 mm by 4 mm rectangle joined to a 20 mm by 2 mm rectangle. Find the total area.
Answer: 128 mm2
- Rectangle 1: 22 × 4 = 88
- Rectangle 2: 20 × 2 = 40
- Total: 88 + 40 = 128 mm2
9.An L-shape is made from a 6 mm by 12 mm rectangle joined to a 4 mm by 6 mm rectangle. Find the total area.
Answer: 96 mm2
- Rectangle 1: 6 × 12 = 72
- Rectangle 2: 4 × 6 = 24
- Total: 72 + 24 = 96 mm2
10.An L-shape is made from a 2 cm by 2 cm rectangle joined to a 2 cm by 4 cm rectangle. Find the total area.
Answer: 12 cm2
- Rectangle 1: 2 × 2 = 4
- Rectangle 2: 2 × 4 = 8
- Total: 4 + 8 = 12 cm2
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.
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