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Area and Perimeter Worksheet with six colorful geometric shapes for calculating perimeter and area.

A colorful "Area and Perimeter Worksheet" featuring six geometric shapes—rectangles and squares—with labeled dimensions in various units (cm, in, ft, mm). Each shape has blank lines for calculating perimeter and area.

A colorful "Area and Perimeter Worksheet" featuring six geometric shapes—rectangles and squares—with labeled dimensions in various units (cm, in, ft, mm). Each shape has blank lines for calculating perimeter and area.

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Show Answer Key & Explanations Step-by-step solution for: Area and Perimeter worksheet for 4-6
Explanation:
We need to find the perimeter and area of each rectangle or square.
Remember:

- For a rectangle:
- Perimeter = 2 × (length + width)
- Area = length × width

- For a square (a special rectangle where all sides are equal):
- Perimeter = 4 × side
- Area = side × side = side²

Let’s go figure by figure.

---

1. Yellow rectangle: 9 cm by 5 cm
Perimeter = 2 × (9 + 5) = 2 × 14 = 28 cm
Area = 9 × 5 = 45 cm²

2. Orange square: 6 in by 6 in
Perimeter = 4 × 6 = 24 in
Area = 6 × 6 = 36 in²

3. Pink square: 4 cm by 4 cm
Perimeter = 4 × 4 = 16 cm
Area = 4 × 4 = 16 cm²

4. Yellow rectangle: 7 ft by 4 ft
Perimeter = 2 × (7 + 4) = 2 × 11 = 22 ft
Area = 7 × 4 = 28 ft²

5. Blue rectangle: 15 ft by 8 ft
Perimeter = 2 × (15 + 8) = 2 × 23 = 46 ft
Area = 15 × 8 = 120 ft²

6. Green rectangle: 13 ft by 9 ft
Perimeter = 2 × (13 + 9) = 2 × 22 = 44 ft
Area = 13 × 9 = 117 ft²

7. Light blue rectangle: 27 in by 8 in
Perimeter = 2 × (27 + 8) = 2 × 35 = 70 in
Area = 27 × 8 = 216 in²

8. Purple square: 8 mm by 8 mm
Perimeter = 4 × 8 = 32 mm
Area = 8 × 8 = 64 mm²

Let me double-check each calculation quickly:

- 2×(9+5)=28 ✔️, 9×5=45 ✔️
- 4×6=24 ✔️, 6×6=36 ✔️
- 4×4=16 ✔️, 4×4=16 ✔️
- 2×(7+4)=22 ✔️, 7×4=28 ✔️
- 2×(15+8)=46 ✔️, 15×8=120 ✔️
- 2×(13+9)=44 ✔️, 13×9=117 ✔️
- 2×(27+8)=70 ✔️, 27×8=216 ✔️
- 4×8=32 ✔️, 8×8=64 ✔️

All correct.

Final Answer:
Perimeter: 28 cm, Area: 45 cm²
Perimeter: 24 in, Area: 36 in²
Perimeter: 16 cm, Area: 16 cm²
Perimeter: 22 ft, Area: 28 ft²
Perimeter: 46 ft, Area: 120 ft²
Perimeter: 44 ft, Area: 117 ft²
Perimeter: 70 in, Area: 216 in²
Perimeter: 32 mm, Area: 64 mm²
Parent Tip: Review the logic above to help your child master the concept of worksheet on area and perimeter.
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