Year 7 Area and Perimeter Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 7 area & perimeter worksheet.
Year 7 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 7 m and a perpendicular height of 15 m. Find its area.
Answer: 52.5 m2
- A = ½ × base × height = ½ × 7 × 15
- = 52.5 m2
2.An L-shape is made from a 24 mm by 13 mm rectangle joined to a 22 mm by 6 mm rectangle. Find the total area.
Answer: 444 mm2
- Rectangle 1: 24 × 13 = 312
- Rectangle 2: 22 × 6 = 132
- Total: 312 + 132 = 444 mm2
3.An L-shape is made from a 9 m by 6 m rectangle joined to a 4 m by 3 m rectangle. Find the total area.
Answer: 66 m2
- Rectangle 1: 9 × 6 = 54
- Rectangle 2: 4 × 3 = 12
- Total: 54 + 12 = 66 m2
4.A rectangle is 12 mm long and 3 mm wide. Find its area.
Answer: 36 mm2
- A = length × width = 12 × 3
- = 36 mm2
5.A triangle has a base of 14 mm and a perpendicular height of 4 mm. Find its area.
Answer: 28 mm2
- A = ½ × base × height = ½ × 14 × 4
- = 28 mm2
6.A rectangle is 20 m long and 3 m wide. Find its area.
Answer: 60 m2
- A = length × width = 20 × 3
- = 60 m2
7.A rectangle is 15 mm long and 9 mm wide. Find its area.
Answer: 135 mm2
- A = length × width = 15 × 9
- = 135 mm2
8.An L-shape is made from a 25 mm by 13 mm rectangle joined to a 23 mm by 13 mm rectangle. Find the total area.
Answer: 624 mm2
- Rectangle 1: 25 × 13 = 325
- Rectangle 2: 23 × 13 = 299
- Total: 325 + 299 = 624 mm2
9.A rectangle is 9 m long and 17 m wide. Find its area.
Answer: 153 m2
- A = length × width = 9 × 17
- = 153 m2
10.An L-shape is made from a 23 cm by 14 cm rectangle joined to a 12 cm by 4 cm rectangle. Find the total area.
Answer: 370 cm2
- Rectangle 1: 23 × 14 = 322
- Rectangle 2: 12 × 4 = 48
- Total: 322 + 48 = 370 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.