Year 7 Area and Perimeter Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 7 area & perimeter worksheet.
Year 7 Area and Perimeter Worksheet — Level 3 — Answers
Write the formula, substitute, then calculate. Include units.
1.A triangle has a base of 13 mm and a perpendicular height of 3 mm. Find its area.
Answer: 19.5 mm2
- A = ½ × base × height = ½ × 13 × 3
- = 19.5 mm2
2.A triangle has a base of 14 cm and a perpendicular height of 12 cm. Find its area.
Answer: 84 cm2
- A = ½ × base × height = ½ × 14 × 12
- = 84 cm2
3.A rectangle is 23 cm long and 8 cm wide. Find its area.
Answer: 184 cm2
- A = length × width = 23 × 8
- = 184 cm2
4.An L-shape is made from a 8 cm by 11 cm rectangle joined to a 6 cm by 2 cm rectangle. Find the total area.
Answer: 100 cm2
- Rectangle 1: 8 × 11 = 88
- Rectangle 2: 6 × 2 = 12
- Total: 88 + 12 = 100 cm2
5.A rectangle is 25 mm long and 20 mm wide. Find its area.
Answer: 500 mm2
- A = length × width = 25 × 20
- = 500 mm2
6.A triangle has a base of 16 cm and a perpendicular height of 15 cm. Find its area.
Answer: 120 cm2
- A = ½ × base × height = ½ × 16 × 15
- = 120 cm2
7.An L-shape is made from a 22 cm by 17 cm rectangle joined to a 11 cm by 7 cm rectangle. Find the total area.
Answer: 451 cm2
- Rectangle 1: 22 × 17 = 374
- Rectangle 2: 11 × 7 = 77
- Total: 374 + 77 = 451 cm2
8.A rectangle is 11 m long and 15 m wide. Find its area.
Answer: 165 m2
- A = length × width = 11 × 15
- = 165 m2
9.An L-shape is made from a 4 m by 2 m rectangle joined to a 3 m by 6 m rectangle. Find the total area.
Answer: 26 m2
- Rectangle 1: 4 × 2 = 8
- Rectangle 2: 3 × 6 = 18
- Total: 8 + 18 = 26 m2
10.A triangle has a base of 17 cm and a perpendicular height of 8 cm. Find its area.
Answer: 68 cm2
- A = ½ × base × height = ½ × 17 × 8
- = 68 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.
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