To calculate the perimeter of each shape, we need to add up the lengths of all the sides. Let's go through each shape step by step.
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1. Rectangle
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Given dimensions: Length = 12 cm, Width = 7 cm
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Formula for perimeter of a rectangle: \( P = 2 \times (\text{Length} + \text{Width}) \)
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Calculation:
\[
P = 2 \times (12 \, \text{cm} + 7 \, \text{cm}) = 2 \times 19 \, \text{cm} = 38 \, \text{cm}
\]
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Perimeter: \( \boxed{38 \, \text{cm}} \)
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2. Square
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Given side length: 80 mm
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Formula for perimeter of a square: \( P = 4 \times \text{Side} \)
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Calculation:
\[
P = 4 \times 80 \, \text{mm} = 320 \, \text{mm}
\]
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Perimeter: \( \boxed{320 \, \text{mm}} \)
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3. Triangle
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Given side lengths: 10 cm, 7 cm, 6 cm
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Formula for perimeter of a triangle: \( P = \text{Side}_1 + \text{Side}_2 + \text{Side}_3 \)
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Calculation:
\[
P = 10 \, \text{cm} + 7 \, \text{cm} + 6 \, \text{cm} = 23 \, \text{cm}
\]
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Perimeter: \( \boxed{23 \, \text{cm}} \)
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4. Trapezoid
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Given side lengths: 5 cm, 6 cm, 6 cm, 8 cm
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Formula for perimeter of a trapezoid: \( P = \text{Side}_1 + \text{Side}_2 + \text{Side}_3 + \text{Side}_4 \)
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Calculation:
\[
P = 5 \, \text{cm} + 6 \, \text{cm} + 6 \, \text{cm} + 8 \, \text{cm} = 25 \, \text{cm}
\]
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Perimeter: \( \boxed{25 \, \text{cm}} \)
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5. Pentagon
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Given side lengths: All sides are 12 cm (regular pentagon)
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Formula for perimeter of a regular pentagon: \( P = 5 \times \text{Side} \)
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Calculation:
\[
P = 5 \times 12 \, \text{cm} = 60 \, \text{cm}
\]
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Perimeter: \( \boxed{60 \, \text{cm}} \)
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Final Answers
1. Rectangle: \( \boxed{38 \, \text{cm}} \)
2. Square: \( \boxed{320 \, \text{mm}} \)
3. Triangle: \( \boxed{23 \, \text{cm}} \)
4. Trapezoid: \( \boxed{25 \, \text{cm}} \)
5. Pentagon: \( \boxed{60 \, \text{cm}} \)
Parent Tip: Review the logic above to help your child master the concept of 4th grade perimeter worksheet.