To solve the problem of finding the perimeter of each shape, we need to sum the lengths of all the sides of each shape. Let's go through each shape step by step.
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Shape 1: Square
- All sides are equal, and each side is 6 cm.
- Perimeter = \( 4 \times \text{side length} \)
- Perimeter = \( 4 \times 6 = 24 \) cm
Answer for Shape 1: \( \boxed{24} \) cm
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Shape 2: Rectangle
- Length = 6 m
- Width = 1 m
- Perimeter = \( 2 \times (\text{length} + \text{width}) \)
- Perimeter = \( 2 \times (6 + 1) = 2 \times 7 = 14 \) m
Answer for Shape 2: \( \boxed{14} \) m
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Shape 3: Trapezoid
- The sides are given as 7 cm, 7 cm, 4 cm, and 10 cm.
- Perimeter = Sum of all sides
- Perimeter = \( 7 + 7 + 4 + 10 = 28 \) cm
Answer for Shape 3: \( \boxed{28} \) cm
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Shape 4: Irregular Polygon
- The shape can be broken down into segments:
- Top: 8 cm
- Right vertical: 4 cm
- Bottom horizontal: 12 cm
- Left vertical: 7 cm
- Inner horizontal: 4 cm
- Inner vertical: 3 cm
- Perimeter = Sum of all outer sides
- Perimeter = \( 8 + 4 + 12 + 7 + 4 + 3 = 38 \) cm
Answer for Shape 4: \( \boxed{38} \) cm
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Shape 5: Composite Rectangle
- The shape consists of a large rectangle with a smaller rectangle cut out from one corner.
- To find the perimeter, we consider the outer boundary only:
- Top: 12 cm
- Right: 8 cm
- Bottom: 12 cm
- Left: 8 cm
- Perimeter = Sum of all outer sides
- Perimeter = \( 12 + 8 + 12 + 8 = 40 \) cm
Answer for Shape 5: \( \boxed{40} \) cm
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Shape 6: Irregular Polygon
- The shape is a rectangle with notches on the sides.
- To find the perimeter, we sum all the outer segments:
- Top: 10 cm
- Right: 5 cm + 2 cm + 2 cm + 2 cm + 2 cm = 13 cm
- Bottom: 10 cm
- Left: 5 cm + 2 cm + 2 cm + 2 cm + 2 cm = 13 cm
- Perimeter = Sum of all outer sides
- Perimeter = \( 10 + 13 + 10 + 13 = 46 \) cm
Answer for Shape 6: \( \boxed{46} \) cm
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Final Answers:
1. \( \boxed{24} \) cm
2. \( \boxed{14} \) m
3. \( \boxed{28} \) cm
4. \( \boxed{38} \) cm
5. \( \boxed{40} \) cm
6. \( \boxed{46} \) cm
Parent Tip: Review the logic above to help your child master the concept of perimeter math worksheet.
