To solve the problem, we need to find the lengths of the missing sides for each shape and then calculate the perimeter. Let's go through each shape step by step.
---
Shape 1:
The shape is a rectangle with some internal lines that do not affect the perimeter calculation. The given dimensions are:
- Top side: 15 cm
- Left side: 11 cm
- Right side: 9 cm
- Bottom side: 9 cm
#### Step 1: Identify the missing side
The top side is already given as 15 cm. The left and right sides are also given. The bottom side is also given as 9 cm. There are no missing sides here.
#### Step 2: Calculate the perimeter
The perimeter of a rectangle is given by:
\[
\text{Perimeter} = 2 \times (\text{Length} + \text{Width})
\]
However, since this is an irregular shape, we sum all the outer sides directly:
\[
\text{Perimeter} = 15 + 11 + 9 + 9 = 44 \text{ cm}
\]
#### Final Answer for Shape 1:
\[
\boxed{44}
\]
---
Shape 2:
The shape is another irregular polygon with given dimensions:
- Top side: 25 mm
- Left side: 22 mm
- Right side: 6 mm
- Bottom side: 18 mm
#### Step 1: Identify the missing side
The top side is 25 mm, the left side is 22 mm, the right side is 6 mm, and the bottom side is 18 mm. There are no missing sides here.
#### Step 2: Calculate the perimeter
Sum all the outer sides directly:
\[
\text{Perimeter} = 25 + 22 + 6 + 18 = 71 \text{ mm}
\]
#### Final Answer for Shape 2:
\[
\boxed{71}
\]
---
Shape 3:
The shape is an irregular polygon with given dimensions in meters:
- Top side: 2.5 m
- Left side: 0.5 m
- Bottom side: 1 m
- Right side: 1.2 m
- Additional sides: 0.5 m and 0.8 m
#### Step 1: Identify the missing side
The shape has internal lines, but we only consider the outer perimeter. The missing side can be determined by noting that the total horizontal length at the bottom is the sum of the given segments:
\[
\text{Total bottom length} = 1 \text{ m} + 0.8 \text{ m} = 1.8 \text{ m}
\]
However, the total horizontal length at the top is already given as 2.5 m. The vertical sides are also given.
#### Step 2: Calculate the perimeter
Sum all the outer sides directly:
\[
\text{Perimeter} = 2.5 + 0.5 + 1.2 + 0.5 + 0.8 + 1 = 6.5 \text{ m}
\]
#### Final Answer for Shape 3:
\[
\boxed{6.5}
\]
---
Shape 4:
The shape is an irregular polygon with given dimensions in centimeters:
- Top side: 2.5 cm
- Left side: 1 cm
- Right side: 2 cm
- Bottom side: 5 cm
- Additional sides: 1.5 cm and 2.5 cm
#### Step 1: Identify the missing side
The shape has internal lines, but we only consider the outer perimeter. The missing side can be determined by noting that the total horizontal length at the bottom is already given as 5 cm. The vertical sides are also given.
#### Step 2: Calculate the perimeter
Sum all the outer sides directly:
\[
\text{Perimeter} = 2.5 + 1 + 2.5 + 1.5 + 2 + 5 = 14.5 \text{ cm}
\]
#### Final Answer for Shape 4:
\[
\boxed{14.5}
\]
---
Final Answers:
1. Perimeter = \(\boxed{44}\) cm
2. Perimeter = \(\boxed{71}\) mm
3. Perimeter = \(\boxed{6.5}\) m
4. Perimeter = \(\boxed{14.5}\) cm
Parent Tip: Review the logic above to help your child master the concept of perimeter with missing side.
