To solve the problem of finding the perimeter of each rectilinear shape, we need to carefully analyze each figure and calculate its perimeter step by step. The perimeter of a shape is the total length of its boundary.
Key Steps:
1.
Identify the sides: Break down the shape into its individual horizontal and vertical segments.
2.
Count the lengths: Measure or count the lengths of all the sides.
3.
Sum the lengths: Add up all the side lengths to get the perimeter.
Let's go through each shape one by one.
---
Shape 1:
- The shape is an "L"-shaped figure.
- Count the sides:
- Top horizontal: 3 units
- Right vertical: 2 units
- Bottom horizontal: 2 units
- Left vertical: 3 units
- Perimeter = \(3 + 2 + 2 + 3 = 10\) units
Perimeter of Shape 1: 10 units
---
Shape 2:
- The shape is a rectangle with a small square cut out from one corner.
- Count the sides:
- Top horizontal: 4 units
- Right vertical: 3 units
- Bottom horizontal: 4 units
- Left vertical: 3 units
- The cut-out does not affect the outer perimeter.
- Perimeter = \(4 + 3 + 4 + 3 = 14\) units
Perimeter of Shape 2: 14 units
---
Shape 3:
- The shape is a simple rectangle.
- Count the sides:
- Top horizontal: 5 units
- Right vertical: 2 units
- Bottom horizontal: 5 units
- Left vertical: 2 units
- Perimeter = \(5 + 2 + 5 + 2 = 14\) units
Perimeter of Shape 3: 14 units
---
Shape 4:
- The shape is a complex rectilinear figure.
- Count the sides:
- Top horizontal: 4 units
- Right vertical: 2 units
- Middle horizontal (bottom part): 3 units
- Left vertical (top part): 2 units
- Left vertical (bottom part): 2 units
- Bottom horizontal: 4 units
- Perimeter = \(4 + 2 + 3 + 2 + 2 + 4 = 17\) units
Perimeter of Shape 4: 17 units
---
Shape 5:
- The shape is a cross-like figure.
- Count the sides:
- Top horizontal: 3 units
- Middle vertical: 3 units
- Bottom horizontal: 3 units
- Left vertical: 3 units
- Right vertical: 3 units
- Perimeter = \(3 + 3 + 3 + 3 + 3 = 15\) units
Perimeter of Shape 5: 15 units
---
Final Answer:
\[
\boxed{10, 14, 14, 17, 15}
\]
Parent Tip: Review the logic above to help your child master the concept of perimeter worksheets.
