Let's solve each problem step by step using the formulas for
area and
perimeter of different shapes.
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🔷 Formulas:
-
Rectangle:
- Area = length × width
- Perimeter = 2 × (length + width)
-
Square:
- Area = side × side = side²
- Perimeter = 4 × side
-
Triangle:
- Area = (base × height) ÷ 2
- Perimeter = sum of all three sides
*(Note: For problems with only base and height, we can’t compute perimeter unless all sides are given. But in this worksheet, it seems we're only asked for area in triangle questions.)*
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Now let’s go through each question:
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1. Rectangle: 20m × 4m
-
Area = 20 × 4 =
80 m²
-
Perimeter = 2 × (20 + 4) = 2 × 24 =
48 m
✔ Answer:
Area:
80 m², Perimeter:
48 m
---
2. Square: 10m side
-
Area = 10 × 10 =
100 m²
-
Perimeter = 4 × 10 =
40 m
✔ Answer:
Area:
100 m², Perimeter:
40 m
---
3. Rectangle: 9m × 3m
-
Area = 9 × 3 =
27 m²
-
Perimeter = 2 × (9 + 3) = 2 × 12 =
24 m
✔ Answer:
Area:
27 m², Perimeter:
24 m
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4. Triangle: Base = 7m, Height = 8m
-
Area = (base × height) ÷ 2 = (7 × 8) ÷ 2 = 56 ÷ 2 =
28 m²
⚠️
Note: No side lengths are given to calculate perimeter. So we can only find
area here.
✔ Answer:
Area:
28 m²
*(Perimeter cannot be calculated without side lengths)*
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5. Triangle: Base = 10m, Height = 12m
-
Area = (10 × 12) ÷ 2 = 120 ÷ 2 =
60 m²
⚠️ Again, no side lengths provided →
Perimeter not possible
✔ Answer:
Area:
60 m²
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6. Square: 12m side
-
Area = 12 × 12 =
144 m²
-
Perimeter = 4 × 12 =
48 m
✔ Answer:
Area:
144 m², Perimeter:
48 m
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7. Square: 4m side
-
Area = 4 × 4 =
16 m²
-
Perimeter = 4 × 4 =
16 m
✔ Answer:
Area:
16 m², Perimeter:
16 m
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8. Rectangle: 11m × 3m
-
Area = 11 × 3 =
33 m²
-
Perimeter = 2 × (11 + 3) = 2 × 14 =
28 m
✔ Answer:
Area:
33 m², Perimeter:
28 m
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✔ Final Answers Summary:
| Question | Shape | Area | Perimeter |
|--------|--------------|------------|-----------|
| 1 | Rectangle | 80 m² | 48 m |
| 2 | Square | 100 m² | 40 m |
| 3 | Rectangle | 27 m² | 24 m |
| 4 | Triangle | 28 m² | N/A |
| 5 | Triangle | 60 m² | N/A |
| 6 | Square | 144 m² | 48 m |
| 7 | Square | 16 m² | 16 m |
| 8 | Rectangle | 33 m² | 28 m |
> ⚠️ For triangles #4 and #5,
only area can be found since side lengths are not given.
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Let me know if you'd like a printable version or explanation in simpler terms!
Parent Tip: Review the logic above to help your child master the concept of area and perimeter worksheets with answers pdf.
