Problem Description:
The task is to find the perimeter of each rectangular shape shown in the image. Each square in the grid represents a unit (1 unit by 1 unit). The perimeter of a shape is the total length of its boundary.
Solution Approach:
To calculate the perimeter of each shape:
1.
Identify the outer boundary: Trace the outer edges of the shape.
2.
Count the units along the boundary: Each side of a square contributes 1 unit to the perimeter.
3.
Sum the lengths of all sides: Add up the total number of units along the boundary.
Let's solve for each shape step by step.
---
Shape 1:
-
Description: A rectangle with dimensions 4 units by 3 units.
-
Perimeter Calculation:
- Length = 4 units
- Width = 3 units
- Perimeter = \(2 \times (\text{Length} + \text{Width}) = 2 \times (4 + 3) = 2 \times 7 = 14\) units.
-
Answer: 14 units
---
Shape 2:
-
Description: An L-shaped figure.
-
Perimeter Calculation:
- Trace the outer boundary: Count each segment of the boundary.
- The boundary consists of 10 segments, each 1 unit long.
- Perimeter = 10 units.
-
Answer: 10 units
---
Shape 3:
-
Description: A square with dimensions 3 units by 3 units.
-
Perimeter Calculation:
- Side length = 3 units
- Perimeter = \(4 \times \text{Side length} = 4 \times 3 = 12\) units.
-
Answer: 12 units
---
Shape 4:
-
Description: An irregular shape.
-
Perimeter Calculation:
- Trace the outer boundary: Count each segment of the boundary.
- The boundary consists of 12 segments, each 1 unit long.
- Perimeter = 12 units.
-
Answer: 12 units
---
Shape 5:
-
Description: A rectangle with dimensions 5 units by 3 units.
-
Perimeter Calculation:
- Length = 5 units
- Width = 3 units
- Perimeter = \(2 \times (\text{Length} + \text{Width}) = 2 \times (5 + 3) = 2 \times 8 = 16\) units.
-
Answer: 16 units
---
Shape 6:
-
Description: A rectangle with dimensions 4 units by 3 units.
-
Perimeter Calculation:
- Length = 4 units
- Width = 3 units
- Perimeter = \(2 \times (\text{Length} + \text{Width}) = 2 \times (4 + 3) = 2 \times 7 = 14\) units.
-
Answer: 14 units
---
Shape 7:
-
Description: A rectangle with dimensions 6 units by 3 units.
-
Perimeter Calculation:
- Length = 6 units
- Width = 3 units
- Perimeter = \(2 \times (\text{Length} + \text{Width}) = 2 \times (6 + 3) = 2 \times 9 = 18\) units.
-
Answer: 18 units
---
Shape 8:
-
Description: An irregular shape.
-
Perimeter Calculation:
- Trace the outer boundary: Count each segment of the boundary.
- The boundary consists of 14 segments, each 1 unit long.
- Perimeter = 14 units.
-
Answer: 14 units
---
Final Answers:
1. 14 units
2. 10 units
3. 12 units
4. 12 units
5. 16 units
6. 14 units
7. 18 units
8. 14 units
\[
\boxed{14, 10, 12, 12, 16, 14, 18, 14}
\]
Parent Tip: Review the logic above to help your child master the concept of perimeter 3rd grade worksheet.
