Year 10 Area and Perimeter Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 10 area & perimeter worksheet.
Year 10 Area and Perimeter Worksheet — Level 3 — Practice Set 2 — Answers
Write the formula, substitute, then calculate. Include units.
1.A triangle has a base of 4 m and a perpendicular height of 9 m. Find its area.
Answer: 18 m2
- A = ½ × base × height = ½ × 4 × 9
- = 18 m2
2.A triangle has a base of 16 m and a perpendicular height of 7 m. Find its area.
Answer: 56 m2
- A = ½ × base × height = ½ × 16 × 7
- = 56 m2
3.An L-shape is made from a 26 cm by 8 cm rectangle joined to a 15 cm by 10 cm rectangle. Find the total area.
Answer: 358 cm2
- Rectangle 1: 26 × 8 = 208
- Rectangle 2: 15 × 10 = 150
- Total: 208 + 150 = 358 cm2
4.An L-shape is made from a 2 mm by 19 mm rectangle joined to a 2 mm by 17 mm rectangle. Find the total area.
Answer: 72 mm2
- Rectangle 1: 2 × 19 = 38
- Rectangle 2: 2 × 17 = 34
- Total: 38 + 34 = 72 mm2
5.A triangle has a base of 10 cm and a perpendicular height of 9 cm. Find its area.
Answer: 45 cm2
- A = ½ × base × height = ½ × 10 × 9
- = 45 cm2
6.A triangle has a base of 8 m and a perpendicular height of 5 m. Find its area.
Answer: 20 m2
- A = ½ × base × height = ½ × 8 × 5
- = 20 m2
7.An L-shape is made from a 17 cm by 11 cm rectangle joined to a 7 cm by 14 cm rectangle. Find the total area.
Answer: 285 cm2
- Rectangle 1: 17 × 11 = 187
- Rectangle 2: 7 × 14 = 98
- Total: 187 + 98 = 285 cm2
8.An L-shape is made from a 21 cm by 15 cm rectangle joined to a 13 cm by 8 cm rectangle. Find the total area.
Answer: 419 cm2
- Rectangle 1: 21 × 15 = 315
- Rectangle 2: 13 × 8 = 104
- Total: 315 + 104 = 419 cm2
9.A triangle has a base of 12 cm and a perpendicular height of 13 cm. Find its area.
Answer: 78 cm2
- A = ½ × base × height = ½ × 12 × 13
- = 78 cm2
10.An L-shape is made from a 24 cm by 12 cm rectangle joined to a 6 cm by 10 cm rectangle. Find the total area.
Answer: 348 cm2
- Rectangle 1: 24 × 12 = 288
- Rectangle 2: 6 × 10 = 60
- Total: 288 + 60 = 348 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.