Year 9 Area and Perimeter Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 9 area & perimeter worksheet.
Year 9 Area and Perimeter Worksheet — Level 3 — Answers
Write the formula, substitute, then calculate. Include units.
1.A rectangle is 4 cm long and 16 cm wide. Find its area.
Answer: 64 cm2
- A = length × width = 4 × 16
- = 64 cm2
2.An L-shape is made from a 6 cm by 9 cm rectangle joined to a 2 cm by 10 cm rectangle. Find the total area.
Answer: 74 cm2
- Rectangle 1: 6 × 9 = 54
- Rectangle 2: 2 × 10 = 20
- Total: 54 + 20 = 74 cm2
3.A triangle has a base of 10 mm and a perpendicular height of 5 mm. Find its area.
Answer: 25 mm2
- A = ½ × base × height = ½ × 10 × 5
- = 25 mm2
4.A triangle has a base of 15 m and a perpendicular height of 10 m. Find its area.
Answer: 75 m2
- A = ½ × base × height = ½ × 15 × 10
- = 75 m2
5.A triangle has a base of 9 mm and a perpendicular height of 9 mm. Find its area.
Answer: 40.5 mm2
- A = ½ × base × height = ½ × 9 × 9
- = 40.5 mm2
6.A rectangle is 7 mm long and 18 mm wide. Find its area.
Answer: 126 mm2
- A = length × width = 7 × 18
- = 126 mm2
7.A rectangle is 12 mm long and 14 mm wide. Find its area.
Answer: 168 mm2
- A = length × width = 12 × 14
- = 168 mm2
8.A rectangle is 17 cm long and 16 cm wide. Find its area.
Answer: 272 cm2
- A = length × width = 17 × 16
- = 272 cm2
9.A triangle has a base of 4 mm and a perpendicular height of 7 mm. Find its area.
Answer: 14 mm2
- A = ½ × base × height = ½ × 4 × 7
- = 14 mm2
10.An L-shape is made from a 28 cm by 5 cm rectangle joined to a 11 cm by 5 cm rectangle. Find the total area.
Answer: 195 cm2
- Rectangle 1: 28 × 5 = 140
- Rectangle 2: 11 × 5 = 55
- Total: 140 + 55 = 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.