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:
---
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: Perimeter =
16 in.
---
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: Perimeter =
40 in.
---
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: Perimeter =
12 ft.
---
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: Perimeter =
16 cm.
---
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: Perimeter =
60 in.
---
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: Perimeter =
14 m
---
Final Answers
1. Rectangle:
16 in.
2. Square:
40 in.
3. Triangle:
12 ft.
4. Octagon:
16 cm.
5. Cross:
60 in.
6. Parallelogram:
14 m
Boxed Final Answer:
\[
\boxed{16 \, \text{in.}, 40 \, \text{in.}, 12 \, \text{ft.}, 16 \, \text{cm.}, 60 \, \text{in.}, 14 \, \text{m}}
\]
Parent Tip: Review the logic above to help your child master the concept of math perimeter worksheet.
