To solve the problem of finding the perimeter of each shape, we need to count the number of outer edges (sides) of each shape. Each side is 1 cm long, so the perimeter will be the total number of outer edges multiplied by 1 cm.
Step-by-Step Solution:
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Shape a:
- The shape is a rectangle with dimensions 3 cm × 4 cm.
- Perimeter = \(2 \times (\text{length} + \text{width}) = 2 \times (3 + 4) = 2 \times 7 = 14 \, \text{cm}\).
####
Shape b:
- Count the outer edges:
- Top: 5 edges
- Bottom: 5 edges
- Left: 2 edges
- Right: 2 edges
- Total outer edges = \(5 + 5 + 2 + 2 = 14\).
- Perimeter = \(14 \, \text{cm}\).
####
Shape c:
- Count the outer edges:
- Top: 4 edges
- Bottom: 4 edges
- Left: 3 edges
- Right: 3 edges
- Total outer edges = \(4 + 4 + 3 + 3 = 14\).
- Perimeter = \(14 \, \text{cm}\).
####
Shape d:
- Count the outer edges:
- Top: 4 edges
- Bottom: 4 edges
- Left: 3 edges
- Right: 3 edges
- Total outer edges = \(4 + 4 + 3 + 3 = 14\).
- Perimeter = \(14 \, \text{cm}\).
####
Shape e:
- Count the outer edges:
- Top: 4 edges
- Bottom: 4 edges
- Left: 4 edges
- Right: 4 edges
- Total outer edges = \(4 + 4 + 4 + 4 = 16\).
- Perimeter = \(16 \, \text{cm}\).
####
Shape f:
- Count the outer edges:
- Top: 5 edges
- Bottom: 5 edges
- Left: 3 edges
- Right: 3 edges
- Total outer edges = \(5 + 5 + 3 + 3 = 16\).
- Perimeter = \(16 \, \text{cm}\).
####
Shape g:
- Count the outer edges:
- Top: 5 edges
- Bottom: 5 edges
- Left: 3 edges
- Right: 3 edges
- Total outer edges = \(5 + 5 + 3 + 3 = 16\).
- Perimeter = \(16 \, \text{cm}\).
####
Shape h:
- Count the outer edges:
- Top: 6 edges
- Bottom: 6 edges
- Left: 2 edges
- Right: 2 edges
- Total outer edges = \(6 + 6 + 2 + 2 = 16\).
- Perimeter = \(16 \, \text{cm}\).
####
Shape i:
- Count the outer edges:
- Top: 5 edges
- Bottom: 5 edges
- Left: 3 edges
- Right: 3 edges
- Total outer edges = \(5 + 5 + 3 + 3 = 16\).
- Perimeter = \(16 \, \text{cm}\).
Final Answers:
\[
\boxed{14, 14, 14, 14, 16, 16, 16, 16, 16}
\]
Parent Tip: Review the logic above to help your child master the concept of 4th grade perimeter worksheet.