Year 10 Area and Perimeter Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 10 area & perimeter worksheet.
Year 10 Area and Perimeter Worksheet — Level 3 — Practice Set 3 — Answers
Write the formula, substitute, then calculate. Include units.
1.An L-shape is made from a 23 cm by 9 cm rectangle joined to a 18 cm by 4 cm rectangle. Find the total area.
Answer: 279 cm2
- Rectangle 1: 23 × 9 = 207
- Rectangle 2: 18 × 4 = 72
- Total: 207 + 72 = 279 cm2
2.A rectangle is 11 mm long and 10 mm wide. Find its area.
Answer: 110 mm2
- A = length × width = 11 × 10
- = 110 mm2
3.A rectangle is 6 m long and 11 m wide. Find its area.
Answer: 66 m2
- A = length × width = 6 × 11
- = 66 m2
4.An L-shape is made from a 13 mm by 5 mm rectangle joined to a 8 mm by 2 mm rectangle. Find the total area.
Answer: 81 mm2
- Rectangle 1: 13 × 5 = 65
- Rectangle 2: 8 × 2 = 16
- Total: 65 + 16 = 81 mm2
5.A triangle has a base of 10 mm and a perpendicular height of 3 mm. Find its area.
Answer: 15 mm2
- A = ½ × base × height = ½ × 10 × 3
- = 15 mm2
6.A rectangle is 12 m long and 16 m wide. Find its area.
Answer: 192 m2
- A = length × width = 12 × 16
- = 192 m2
7.An L-shape is made from a 20 mm by 12 mm rectangle joined to a 5 mm by 14 mm rectangle. Find the total area.
Answer: 310 mm2
- Rectangle 1: 20 × 12 = 240
- Rectangle 2: 5 × 14 = 70
- Total: 240 + 70 = 310 mm2
8.A rectangle is 9 m long and 10 m wide. Find its area.
Answer: 90 m2
- A = length × width = 9 × 10
- = 90 m2
9.An L-shape is made from a 28 cm by 14 cm rectangle joined to a 14 cm by 18 cm rectangle. Find the total area.
Answer: 644 cm2
- Rectangle 1: 28 × 14 = 392
- Rectangle 2: 14 × 18 = 252
- Total: 392 + 252 = 644 cm2
10.A triangle has a base of 16 m and a perpendicular height of 15 m. Find its area.
Answer: 120 m2
- A = ½ × base × height = ½ × 16 × 15
- = 120 m2
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.