Year 10 Area and Perimeter Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 10 area & perimeter worksheet.
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
- A = ½ × base × height = ½ × 7 × 3
- = 10.5 cm2
2.A rectangle is 5 cm long and 8 cm wide. Find its area.
Answer: 40 cm2
- A = length × width = 5 × 8
- = 40 cm2
3.A triangle has a base of 18 mm and a perpendicular height of 14 mm. Find its area.
Answer: 126 mm2
- A = ½ × base × height = ½ × 18 × 14
- = 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
- Rectangle 1: 24 × 18 = 432
- Rectangle 2: 5 × 17 = 85
- 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
- A = ½ × base × height = ½ × 10 × 14
- = 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
- Rectangle 1: 3 × 10 = 30
- Rectangle 2: 2 × 12 = 24
- 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
- A = ½ × base × height = ½ × 14 × 13
- = 91 mm2
8.A triangle has a base of 18 cm and a perpendicular height of 14 cm. Find its area.
Answer: 126 cm2
- A = ½ × base × height = ½ × 18 × 14
- = 126 cm2
9.A triangle has a base of 15 m and a perpendicular height of 14 m. Find its area.
Answer: 105 m2
- A = ½ × base × height = ½ × 15 × 14
- = 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
- Rectangle 1: 9 × 19 = 171
- Rectangle 2: 6 × 4 = 24
- Total: 171 + 24 = 195 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.