Year 4 Area and Perimeter Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 4 area & perimeter worksheet.
Year 4 Area and Perimeter Worksheet — Level 3 — Answers
Write the formula, substitute, then calculate. Include units.
1.A triangle has a base of 16 mm and a perpendicular height of 5 mm. Find its area.
Answer: 40 mm2
- A = ½ × base × height = ½ × 16 × 5
- = 40 mm2
2.An L-shape is made from a 25 m by 12 m rectangle joined to a 13 m by 12 m rectangle. Find the total area.
Answer: 456 m2
- Rectangle 1: 25 × 12 = 300
- Rectangle 2: 13 × 12 = 156
- Total: 300 + 156 = 456 m2
3.A triangle has a base of 10 m and a perpendicular height of 10 m. Find its area.
Answer: 50 m2
- A = ½ × base × height = ½ × 10 × 10
- = 50 m2
4.A triangle has a base of 19 m and a perpendicular height of 10 m. Find its area.
Answer: 95 m2
- A = ½ × base × height = ½ × 19 × 10
- = 95 m2
5.A triangle has a base of 17 mm and a perpendicular height of 7 mm. Find its area.
Answer: 59.5 mm2
- A = ½ × base × height = ½ × 17 × 7
- = 59.5 mm2
6.A triangle has a base of 4 mm and a perpendicular height of 5 mm. Find its area.
Answer: 10 mm2
- A = ½ × base × height = ½ × 4 × 5
- = 10 mm2
7.An L-shape is made from a 6 m by 16 m rectangle joined to a 5 m by 17 m rectangle. Find the total area.
Answer: 181 m2
- Rectangle 1: 6 × 16 = 96
- Rectangle 2: 5 × 17 = 85
- Total: 96 + 85 = 181 m2
8.A triangle has a base of 20 m and a perpendicular height of 6 m. Find its area.
Answer: 60 m2
- A = ½ × base × height = ½ × 20 × 6
- = 60 m2
9.An L-shape is made from a 30 m by 6 m rectangle joined to a 18 m by 11 m rectangle. Find the total area.
Answer: 378 m2
- Rectangle 1: 30 × 6 = 180
- Rectangle 2: 18 × 11 = 198
- Total: 180 + 198 = 378 m2
10.A triangle has a base of 7 cm and a perpendicular height of 10 cm. Find its area.
Answer: 35 cm2
- A = ½ × base × height = ½ × 7 × 10
- = 35 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.
Great work. Here's what to try next: