7th Grade Area and Perimeter Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 7th Grade area & perimeter worksheet.
7th Grade Area and Perimeter Worksheet — Level 3 — Practice Set 3 — Answers
Write the formula, substitute, then calculate. Include units.
1.An L-shape is made from a 9 cm by 18 cm rectangle joined to a 8 cm by 19 cm rectangle. Find the total area.
Answer: 314 cm2
- Rectangle 1: 9 × 18 = 162
- Rectangle 2: 8 × 19 = 152
- Total: 162 + 152 = 314 cm2
2.A triangle has a base of 14 cm and a height of 15 cm. Find its area.
Answer: 105 cm2
- A = ½ × base × height = ½ × 14 × 15
- = 105 cm2
3.An L-shape is made from a 19 m by 4 m rectangle joined to a 12 m by 4 m rectangle. Find the total area.
Answer: 124 m2
- Rectangle 1: 19 × 4 = 76
- Rectangle 2: 12 × 4 = 48
- Total: 76 + 48 = 124 m2
4.An L-shape is made from a 11 cm by 8 cm rectangle joined to a 8 cm by 6 cm rectangle. Find the total area.
Answer: 136 cm2
- Rectangle 1: 11 × 8 = 88
- Rectangle 2: 8 × 6 = 48
- Total: 88 + 48 = 136 cm2
5.A rectangle is 13 m long and 20 m wide. Find its area.
Answer: 260 m2
- A = length × width = 13 × 20
- = 260 m2
6.A rectangle is 10 m long and 9 m wide. Find its area.
Answer: 90 m2
- A = length × width = 10 × 9
- = 90 m2
7.A rectangle is 28 mm long and 4 mm wide. Find its area.
Answer: 112 mm2
- A = length × width = 28 × 4
- = 112 mm2
8.A triangle has a base of 5 cm and a height of 11 cm. Find its area.
Answer: 27.5 cm2
- A = ½ × base × height = ½ × 5 × 11
- = 27.5 cm2
9.A triangle has a base of 18 m and a height of 5 m. Find its area.
Answer: 45 m2
- A = ½ × base × height = ½ × 18 × 5
- = 45 m2
10.A triangle has a base of 14 cm and a height of 9 cm. Find its area.
Answer: 63 cm2
- A = ½ × base × height = ½ × 14 × 9
- = 63 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.