Let’s solve each problem step by step.
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Problem 1: Rectangle (10m long, 4m wide)
- Area = length × width → 10 × 4 =
40 m²
- Perimeter = 2 × (length + width) → 2 × (10 + 4) = 2 × 14 =
28 m
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Problem 2: Triangle (base 9m, height 6m)
- Area = (base × height) ÷ 2 → (9 × 6) ÷ 2 = 54 ÷ 2 =
27 m²
*(Note: We don’t have side lengths for perimeter — so we can’t calculate it. But the worksheet only asks for area here.)*
Wait — looking again at the image: Problem 2 only has “Area ___” written under it. No perimeter line. So we only do area.
✔ Area =
27 m²
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Problem 3: Square (side 7m)
- Area = side × side → 7 × 7 =
49 m²
- Perimeter = 4 × side → 4 × 7 =
28 m
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Problem 4: Triangle (base 8m, height 12m)
- Area = (base × height) 2 → (8 × 12) ÷ 2 = 96 ÷ 2 =
48 m²
*(Again, no perimeter asked — just area.)*
✔ Area =
48 m²
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Problem 5: Rectangle (20m long, 7m wide)
- Area = 20 × 7 =
140 m²
- Perimeter = 2 × (20 + 7) = 2 × 27 =
54 m
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Problem 6: Rectangle (11m long, 8m wide)
- Area = 11 × 8 =
88 m²
- Perimeter = 2 × (11 + 8) = 2 × 19 =
38 m
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Now let’s double-check all calculations:
1. 10×4=40 ✔️ | 2×(10+4)=28 ✔️
2. (9×6)/2=27 ✔️
3. 7×7=49 ✔️ | 4×7=28 ✔️
4. (8×12)/2=48 ✔️
5. 20×7=140 ✔️ | 2×(20+7)=54 ✔️
6. 11×8=88 ✔️ | 2×(11+8)=38 ✔️
All correct!
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Final Answer:
1. Area: 40 m², Perimeter: 28 m
2. Area: 27 m²
3. Area: 49 m², Perimeter: 28 m
4. Area: 48 m²
5. Area: 140 m², Perimeter: 54 m
6. Area: 88 m², Perimeter: 38 m
Parent Tip: Review the logic above to help your child master the concept of free perimeter worksheet.
