Let's solve each rectangle step by step using the formulas:
Formulas:
-
Area of a rectangle = length × width
-
Perimeter of a rectangle = 2 × (length + width)
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1) Rectangle: 6 cm × 2 cm
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Area = 6 cm × 2 cm =
12 square cm
-
Perimeter = 2 × (6 + 2) = 2 × 8 =
16 cm
✔ Area =
12, Perimeter =
16
---
2) Rectangle: 5 mm × 3 mm
-
Area = 5 mm × 3 mm =
15 square mm
-
Perimeter = 2 × (5 + 3) = 2 × 8 =
16 mm
✔ Area =
15, Perimeter =
16
---
3) Rectangle: 5 m × 9 m
-
Area = 5 m × 9 m =
45 square m
-
Perimeter = 2 × (5 + 9) = 2 × 14 =
28 m
✔ Area =
45, Perimeter =
28
---
4) Rectangle: 8 ft × 3 ft
-
Area = 8 ft × 3 ft =
24 square ft
-
Perimeter = 2 × (8 + 3) = 2 × 11 =
22 ft
✔ Area =
24, Perimeter =
22
---
5) Square: 6 cm × 6 cm (It's a square, which is a special rectangle)
-
Area = 6 cm × 6 cm =
36 square cm
-
Perimeter = 2 × (6 + 6) = 2 × 12 =
24 cm
✔ Area =
36, Perimeter =
24
---
6) Rectangle: 8 km × 5 km
-
Area = 8 km × 5 km =
40 square km
-
Perimeter = 2 × (8 + 5) = 2 × 13 =
26 km
✔ Area =
40, Perimeter =
26
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✔ Final Answers:
| Problem | Area | Perimeter |
|--------|--------------------|-------------------|
| 1) | 12 square cm | 16 cm |
| 2) | 15 square mm | 16 mm |
| 3) | 45 square m | 28 m |
| 4) | 24 square ft | 22 ft |
| 5) | 36 square cm | 24 cm |
| 6) | 40 square km | 26 km |
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🔍 Explanation:
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Area measures the space inside the rectangle. Multiply length and width.
-
Perimeter measures the total distance around the rectangle. Add all four sides or use the formula: 2×(l + w).
- Units matter! Always include the correct unit (cm², mm², etc.) for area and linear units (cm, mm, etc.) for perimeter.
Let me know if you'd like this as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of finding area worksheet 3rd grade.
