Year 8 Area and Perimeter Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 8 area & perimeter worksheet.
Year 8 Area and Perimeter Worksheet — Level 3 — Practice Set 3 — Answers
Write the formula, substitute, then calculate. Include units.
1.A triangle has a base of 17 cm and a perpendicular height of 7 cm. Find its area.
Answer: 59.5 cm2
- A = ½ × base × height = ½ × 17 × 7
- = 59.5 cm2
2.An L-shape is made from a 19 cm by 15 cm rectangle joined to a 18 cm by 2 cm rectangle. Find the total area.
Answer: 321 cm2
- Rectangle 1: 19 × 15 = 285
- Rectangle 2: 18 × 2 = 36
- Total: 285 + 36 = 321 cm2
3.A triangle has a base of 7 cm and a perpendicular height of 11 cm. Find its area.
Answer: 38.5 cm2
- A = ½ × base × height = ½ × 7 × 11
- = 38.5 cm2
4.A rectangle is 22 mm long and 12 mm wide. Find its area.
Answer: 264 mm2
- A = length × width = 22 × 12
- = 264 mm2
5.An L-shape is made from a 27 m by 9 m rectangle joined to a 9 m by 7 m rectangle. Find the total area.
Answer: 306 m2
- Rectangle 1: 27 × 9 = 243
- Rectangle 2: 9 × 7 = 63
- Total: 243 + 63 = 306 m2
6.An L-shape is made from a 7 m by 8 m rectangle joined to a 2 m by 7 m rectangle. Find the total area.
Answer: 70 m2
- Rectangle 1: 7 × 8 = 56
- Rectangle 2: 2 × 7 = 14
- Total: 56 + 14 = 70 m2
7.A rectangle is 23 cm long and 2 cm wide. Find its area.
Answer: 46 cm2
- A = length × width = 23 × 2
- = 46 cm2
8.A triangle has a base of 5 m and a perpendicular height of 11 m. Find its area.
Answer: 27.5 m2
- A = ½ × base × height = ½ × 5 × 11
- = 27.5 m2
9.A rectangle is 18 cm long and 20 cm wide. Find its area.
Answer: 360 cm2
- A = length × width = 18 × 20
- = 360 cm2
10.A triangle has a base of 19 mm and a perpendicular height of 13 mm. Find its area.
Answer: 123.5 mm2
- A = ½ × base × height = ½ × 19 × 13
- = 123.5 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.