I will solve the perimeter problems shown in the image. The worksheet asks for the perimeter of various rectangles, which is calculated by adding up the lengths of all four sides. For a rectangle, this can be simplified to the formula: Perimeter = 2 * (Length + Width).
Let's go through each shape one by one.
First Problem (Top Section)
The first shape is a rectangle with a length of 8 cm and a width of 2 cm.
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Calculation: Perimeter = 2 * (8 cm + 2 cm) = 2 * 10 cm = 20 cm.
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Answer: The perimeter is 20 cm. This matches the answer provided in the box on the right.
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Second Section: "Write the perimeter of each shape in the answer box."
I will now calculate the perimeter for each of the eight shapes in the bottom section.
#### Shape 1 (Top Left)
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Dimensions: 1 cm (width) x 5 cm (height).
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Calculation: Perimeter = 2 * (1 cm + 5 cm) = 2 * 6 cm = 12 cm.
#### Shape 2
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Dimensions: 3 cm (width) x 7 cm (height).
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Calculation: Perimeter = 2 * (3 cm + 7 cm) = 2 * 10 cm = 20 cm.
#### Shape 3
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Dimensions: 6 cm (width) x 4 cm (height).
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Calculation: Perimeter = 2 * (6 cm + 4 cm) = 2 * 10 cm = 20 cm.
#### Shape 4
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Dimensions: 4 cm (width) x 8 cm (height).
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Calculation: Perimeter = 2 * (4 cm + 8 cm) = 2 * 12 cm = 24 cm.
#### Shape 5
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Dimensions: 2 cm (width) x 7 cm (height).
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Calculation: Perimeter = 2 * (2 cm + 7 cm) = 2 * 9 cm = 18 cm.
#### Shape 6
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Dimensions: 6 cm (width) x 8 cm (height).
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Calculation: Perimeter = 2 * (6 cm + 8 cm) = 2 * 14 cm = 28 cm.
#### Shape 7
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Dimensions: 12 cm (width) x 32 cm (height).
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Calculation: Perimeter = 2 * (12 cm + 32 cm) = 2 * 44 cm = 88 cm.
#### Shape 8 (Bottom Left)
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Dimensions: 8 cm (width) x 9 cm (height).
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Calculation: Perimeter = 2 * (8 cm + 9 cm) = 2 * 17 cm = 34 cm.
#### Shape 9
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Dimensions: 5 cm (width) x 9 cm (height).
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Calculation: Perimeter = 2 * (5 cm + 9 cm) = 2 * 14 cm = 28 cm.
#### Shape 10 (Bottom Right)
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Dimensions: 10 cm (width) x 32 cm (height).
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Calculation: Perimeter = 2 * (10 cm + 32 cm) = 2 * 42 cm = 84 cm.
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Final Answer
Here are the perimeters for all the shapes on the worksheet:
Top Section:
* Shape 1:
20 cm
Bottom Section:
* Shape 1:
12 cm
* Shape 2:
20 cm
* Shape 3:
20 cm
* Shape 4:
24 cm
* Shape 5:
18 cm
* Shape 6:
28 cm
* Shape 7:
88 cm
* Shape 8:
34 cm
* Shape 9:
28 cm
* Shape 10:
84 cm
Parent Tip: Review the logic above to help your child master the concept of perimeter of rectangles worksheet.