Year 7 Area and Perimeter Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 7 area & perimeter worksheet.
Year 7 Area and Perimeter Worksheet — Level 3 — Practice Set 4 — Answers
Write the formula, substitute, then calculate. Include units.
1.An L-shape is made from a 23 cm by 12 cm rectangle joined to a 6 cm by 7 cm rectangle. Find the total area.
Answer: 318 cm2
- Rectangle 1: 23 × 12 = 276
- Rectangle 2: 6 × 7 = 42
- Total: 276 + 42 = 318 cm2
2.An L-shape is made from a 14 m by 3 m rectangle joined to a 12 m by 7 m rectangle. Find the total area.
Answer: 126 m2
- Rectangle 1: 14 × 3 = 42
- Rectangle 2: 12 × 7 = 84
- Total: 42 + 84 = 126 m2
3.An L-shape is made from a 30 mm by 12 mm rectangle joined to a 26 mm by 4 mm rectangle. Find the total area.
Answer: 464 mm2
- Rectangle 1: 30 × 12 = 360
- Rectangle 2: 26 × 4 = 104
- Total: 360 + 104 = 464 mm2
4.An L-shape is made from a 5 mm by 16 mm rectangle joined to a 2 mm by 9 mm rectangle. Find the total area.
Answer: 98 mm2
- Rectangle 1: 5 × 16 = 80
- Rectangle 2: 2 × 9 = 18
- Total: 80 + 18 = 98 mm2
5.A rectangle is 25 m long and 15 m wide. Find its area.
Answer: 375 m2
- A = length × width = 25 × 15
- = 375 m2
6.A rectangle is 23 cm long and 15 cm wide. Find its area.
Answer: 345 cm2
- A = length × width = 23 × 15
- = 345 cm2
7.A rectangle is 18 cm long and 5 cm wide. Find its area.
Answer: 90 cm2
- A = length × width = 18 × 5
- = 90 cm2
8.An L-shape is made from a 25 m by 20 m rectangle joined to a 24 m by 13 m rectangle. Find the total area.
Answer: 812 m2
- Rectangle 1: 25 × 20 = 500
- Rectangle 2: 24 × 13 = 312
- Total: 500 + 312 = 812 m2
9.A rectangle is 6 m long and 19 m wide. Find its area.
Answer: 114 m2
- A = length × width = 6 × 19
- = 114 m2
10.A triangle has a base of 9 mm and a perpendicular height of 8 mm. Find its area.
Answer: 36 mm2
- A = ½ × base × height = ½ × 9 × 8
- = 36 mm2
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.