Let's solve each shape one by one, calculating both
perimeter and
area.
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🔷 Formulas:
-
Rectangle:
- Perimeter = $ 2 \times (length + width) $
- Area = $ length \times width $
-
Square:
- Perimeter = $ 4 \times side $
- Area = $ side^2 $
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Now let’s go through each figure:
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1. Rectangle: 10 cm × 3 cm
-
Perimeter:
$ 2 \times (10 + 3) = 2 \times 13 = 26 $ cm
-
Area:
$ 10 \times 3 = 30 $ cm²
✔ Perimeter: 26 cm
✔ Area: 30 cm²
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2. Square: 5 cm × 5 cm
-
Perimeter:
$ 4 \times 5 = 20 $ cm
-
Area:
$ 5 \times 5 = 25 $ cm²
✔ Perimeter: 20 cm
✔ Area: 25 cm²
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3. Square rotated: 12 cm side
Even though it's rotated, it's still a square with side 12 cm.
-
Perimeter:
$ 4 \times 12 = 48 $ cm
-
Area:
$ 12 \times 12 = 144 $ cm²
✔ Perimeter: 48 cm
✔ Area: 144 cm²
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4. Rectangle: 6 cm × 2 cm
-
Perimeter:
$ 2 \times (6 + 2) = 2 \times 8 = 16 $ cm
-
Area:
$ 6 \times 2 = 12 $ cm²
✔ Perimeter: 16 cm
✔ Area: 12 cm²
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5. Square: 11 cm × 11 cm
-
Perimeter:
$ 4 \times 11 = 44 $ cm
-
Area:
$ 11 \times 11 = 121 $ cm²
✔ Perimeter: 44 cm
✔ Area: 121 cm²
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6. Rectangle: 9 cm × 3 cm
-
Perimeter:
$ 2 \times (9 + 3) = 2 \times 12 = 24 $ cm
-
Area:
$ 9 \times 3 = 27 $ cm²
✔ Perimeter: 24 cm
✔ Area: 27 cm²
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7. Square: 4 cm × 4 cm
-
Perimeter:
$ 4 \times 4 = 16 $ cm
-
Area:
$ 4 \times 4 = 16 $ cm²
✔ Perimeter: 16 cm
✔ Area: 16 cm²
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8. Rectangle: 5 m × 2 m
Note: Units are in meters (m), so answer will be in meters and square meters.
-
Perimeter:
$ 2 \times (5 + 2) = 2 \times 7 = 14 $ m
-
Area:
$ 5 \times 2 = 10 $ m²
✔ Perimeter: 14 m
✔ Area: 10 m²
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9. Square: 10 cm × 10 cm
-
Perimeter:
$ 4 \times 10 = 40 $ cm
-
Area:
$ 10 \times 10 = 100 $ cm²
✔ Perimeter: 40 cm
✔ Area: 100 cm²
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✔ Final Answers:
| Shape | Perimeter | Area |
|------|-----------|------|
| 1. 10×3 cm rectangle | 26 cm | 30 cm² |
| 2. 5 cm square | 20 cm | 25 cm² |
| 3. 12 cm square | 48 cm | 144 cm² |
| 4. 6×2 cm rectangle | 16 cm | 12 cm² |
| 5. 11 cm square | 44 cm | 121 cm² |
| 6. 9×3 cm rectangle | 24 cm | 27 cm² |
| 7. 4 cm square | 16 cm | 16 cm² |
| 8. 5×2 m rectangle | 14 m | 10 m² |
| 9. 10 cm square | 40 cm | 100 cm² |
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Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of printable area worksheet.