Geometry: Find the Perimeter (Set 1) | Homeschool Books, Math ... - Free Printable

To solve the problem of finding the perimeters of the given shapes, we will calculate each one step by step. Let's go through each shape:

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1) Rectangle

- Dimensions: Length = 6 in., Width = 2 in.
- Formula for Perimeter of a Rectangle: \( P = 2 \times (\text{Length} + \text{Width}) \)
- Calculation:
\[
P = 2 \times (6 \, \text{in.} + 2 \, \text{in.}) = 2 \times 8 \, \text{in.} = 16 \, \text{in.}
\]
- Answer: \( \boxed{16 \, \text{in.}} \)

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2) Square

- Side Length: 10 in.
- Formula for Perimeter of a Square: \( P = 4 \times \text{Side Length} \)
- Calculation:
\[
P = 4 \times 10 \, \text{in.} = 40 \, \text{in.}
\]
- Answer: \( \boxed{40 \, \text{in.}} \)

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3) Triangle

- Sides: 3 ft., 4 ft., 5 ft.
- Formula for Perimeter of a Triangle: \( P = \text{Side 1} + \text{Side 2} + \text{Side 3} \)
- Calculation:
\[
P = 3 \, \text{ft.} + 4 \, \text{ft.} + 5 \, \text{ft.} = 12 \, \text{ft.}
\]
- Answer: \( \boxed{12 \, \text{ft.}} \)

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4) Octagon

- Side Length: 2 cm.
- Number of Sides: 8
- Formula for Perimeter of a Regular Polygon: \( P = \text{Number of Sides} \times \text{Side Length} \)
- Calculation:
\[
P = 8 \times 2 \, \text{cm.} = 16 \, \text{cm.}
\]
- Answer: \( \boxed{16 \, \text{cm.}} \)

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5) Cross (All sides are the same length)

- Side Length: 5 in.
- Number of Sides: The cross has 12 sides (each arm of the cross is made up of 3 segments, and there are 4 arms).
- Formula for Perimeter: \( P = \text{Number of Sides} \times \text{Side Length} \)
- Calculation:
\[
P = 12 \times 5 \, \text{in.} = 60 \, \text{in.}
\]
- Answer: \( \boxed{60 \, \text{in.}} \)

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6) Parallelogram

- Dimensions: One pair of opposite sides = 2 m, Other pair of opposite sides = 5 m.
- Formula for Perimeter of a Parallelogram: \( P = 2 \times (\text{Base} + \text{Height}) \)
- Calculation:
\[
P = 2 \times (2 \, \text{m} + 5 \, \text{m}) = 2 \times 7 \, \text{m} = 14 \, \text{m}
\]
- Answer: \( \boxed{14 \, \text{m}} \)

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Final Answers:

1. Rectangle: \( \boxed{16 \, \text{in.}} \)
2. Square: \( \boxed{40 \, \text{in.}} \)
3. Triangle: \( \boxed{12 \, \text{ft.}} \)
4. Octagon: \( \boxed{16 \, \text{cm.}} \)
5. Cross: \( \boxed{60 \, \text{in.}} \)
6. Parallelogram: \( \boxed{14 \, \text{m}} \)

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Boxed Final Answer:
\[
\boxed{16 \, \text{in.}, 40 \, \text{in.}, 12 \, \text{ft.}, 16 \, \text{cm.}, 60 \, \text{in.}, 14 \, \text{m}}
\]