Let's solve each rectangle problem step by step using the formulas:
-
Area of a rectangle = length × width
-
Perimeter of a rectangle = 2 × (length + width)
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Problem 1
Dimensions: 9 ft × 6 ft
- Area = 9 × 6 =
54 sq ft
- Perimeter = 2 × (9 + 6) = 2 × 15 =
30 ft
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Problem 2
Dimensions: 3 ft × 11 ft
- Area = 3 × 11 =
33 sq ft
- Perimeter = 2 × (3 + 11) = 2 × 14 =
28 ft
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Problem 3
Dimensions: 7 cm × 13 cm
- Area = 7 × 13 =
91 sq cm
- Perimeter = 2 × (7 + 13) = 2 × 20 =
40 cm
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Problem 4
Dimensions: 22 in × 19 in
- Area = 22 × 19 =
418 sq in
- Perimeter = 2 × (22 + 19) = 2 × 41 =
82 in
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Problem 5
Dimensions: 16 m × 25 m
- Area = 16 × 25 =
400 sq m
- Perimeter = 2 × (16 + 25) = 2 × 41 =
82 m
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Problem 6
Dimensions: 10 yd × 2 yd
- Area = 10 × 2 =
20 sq yd
- Perimeter = 2 × (10 + 2) = 2 × 12 =
24 yd
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Problem 7
Dimensions: 1 mm × 6 mm
- Area = 1 × 6 =
6 sq mm
- Perimeter = 2 × (1 + 6) = 2 × 7 =
14 mm
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Problem 8
Dimensions: 21 km × 44 km
- Area = 21 × 44 =
924 sq km
- Perimeter = 2 × (21 + 44) = 2 × 65 =
130 km
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✔ Final Answers:
| Problem | Area | Perimeter |
|--------|--------------------|---------------|
| 1 | 54 sq ft | 30 ft |
| 2 | 33 sq ft | 28 ft |
| 3 | 91 sq cm | 40 cm |
| 4 | 418 sq in | 82 in |
| 5 | 400 sq m | 82 m |
| 6 | 20 sq yd | 24 yd |
| 7 | 6 sq mm | 14 mm |
| 8 | 924 sq km | 130 km |
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✔ Explanation Summary:
- For each rectangle, we used:
-
Area = length × width
-
Perimeter = 2 × (length + width)
- Units are preserved as given.
- All calculations are straightforward multiplications and additions.
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Parent Tip: Review the logic above to help your child master the concept of perimeter worksheet and answer keys.
