Year 9 Area and Perimeter Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 9 area & perimeter worksheet.
Year 9 Area and Perimeter Worksheet — Level 3 — Practice Set 2 — Answers
Write the formula, substitute, then calculate. Include units.
1.A rectangle is 18 cm long and 13 cm wide. Find its area.
Answer: 234 cm2
- A = length × width = 18 × 13
- = 234 cm2
2.A triangle has a base of 11 cm and a perpendicular height of 7 cm. Find its area.
Answer: 38.5 cm2
- A = ½ × base × height = ½ × 11 × 7
- = 38.5 cm2
3.An L-shape is made from a 2 cm by 4 cm rectangle joined to a 2 cm by 9 cm rectangle. Find the total area.
Answer: 26 cm2
- Rectangle 1: 2 × 4 = 8
- Rectangle 2: 2 × 9 = 18
- Total: 8 + 18 = 26 cm2
4.An L-shape is made from a 26 m by 5 m rectangle joined to a 21 m by 6 m rectangle. Find the total area.
Answer: 256 m2
- Rectangle 1: 26 × 5 = 130
- Rectangle 2: 21 × 6 = 126
- Total: 130 + 126 = 256 m2
5.A triangle has a base of 12 cm and a perpendicular height of 11 cm. Find its area.
Answer: 66 cm2
- A = ½ × base × height = ½ × 12 × 11
- = 66 cm2
6.A rectangle is 7 m long and 19 m wide. Find its area.
Answer: 133 m2
- A = length × width = 7 × 19
- = 133 m2
7.An L-shape is made from a 22 mm by 6 mm rectangle joined to a 2 mm by 11 mm rectangle. Find the total area.
Answer: 154 mm2
- Rectangle 1: 22 × 6 = 132
- Rectangle 2: 2 × 11 = 22
- Total: 132 + 22 = 154 mm2
8.An L-shape is made from a 17 cm by 12 cm rectangle joined to a 12 cm by 6 cm rectangle. Find the total area.
Answer: 276 cm2
- Rectangle 1: 17 × 12 = 204
- Rectangle 2: 12 × 6 = 72
- Total: 204 + 72 = 276 cm2
9.A triangle has a base of 10 cm and a perpendicular height of 3 cm. Find its area.
Answer: 15 cm2
- A = ½ × base × height = ½ × 10 × 3
- = 15 cm2
10.A triangle has a base of 6 cm and a perpendicular height of 5 cm. Find its area.
Answer: 15 cm2
- A = ½ × base × height = ½ × 6 × 5
- = 15 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.