To solve the problem, we need to calculate the unknown side for each figure using the given perimeter. Let's go through each figure step by step.
---
Figure 1:
-
Given: Perimeter = 38 cm
-
Known sides: 9 cm, 10 cm, 4 cm, 5 cm, 3 cm
-
Unknown side: \( A \)
#### Step 1: Sum of known sides
The perimeter is the sum of all sides. The figure can be unfolded into a rectangle-like shape:
- Top side: \( 10 - 3 = 7 \) cm
- Right side: \( 9 - 5 = 4 \) cm
- Bottom side: 10 cm
- Left side: 9 cm
- Inner vertical segment: 5 cm
- Inner horizontal segment: \( A \)
The total perimeter is:
\[
(10 + 9 + 10 + 9 + 5 + A) = 38
\]
#### Step 2: Solve for \( A \)
\[
10 + 9 + 10 + 9 + 5 + A = 38
\]
\[
43 + A = 38
\]
\[
A = 38 - 43
\]
\[
A = 2 \text{ cm}
\]
Answer for Figure 1:
\[
\boxed{2}
\]
---
Figure 2:
-
Given: Perimeter = 39 cm
-
Known sides: 10 cm, 10 cm, 4 cm, 4 cm
-
Unknown side: \( B \)
#### Step 1: Sum of known sides
The perimeter is the sum of all sides:
\[
10 + 10 + 4 + 4 + B = 39
\]
#### Step 2: Solve for \( B \)
\[
28 + B = 39
\]
\[
B = 39 - 28
\]
\[
B = 11 \text{ cm}
\]
Answer for Figure 2:
\[
\boxed{11}
\]
---
Figure 3:
-
Given: Perimeter = 35 cm
-
Known sides: 8 cm, 15 cm
-
Unknown side: \( C \)
#### Step 1: Sum of known sides
The perimeter is the sum of all sides:
\[
8 + 15 + C = 35
\]
#### Step 2: Solve for \( C \)
\[
23 + C = 35
\]
\[
C = 35 - 23
\]
\[
C = 12 \text{ cm}
\]
Answer for Figure 3:
\[
\boxed{12}
\]
---
Figure 4:
-
Given: Perimeter = 38 cm
-
Known sides: 9 cm, 10 cm, 10 cm
-
Unknown side: \( D \)
#### Step 1: Sum of known sides
The perimeter is the sum of all sides:
\[
9 + 10 + 10 + D = 38
\]
#### Step 2: Solve for \( D \)
\[
29 + D = 38
\]
\[
D = 38 - 29
\]
\[
D = 9 \text{ cm}
\]
Answer for Figure 4:
\[
\boxed{9}
\]
---
Figure 5:
-
Given: Perimeter = 29 cm
-
Known sides: 7 cm, 2 cm, 4 cm, 7 cm, 2 cm, 4 cm
-
Unknown side: \( E \)
#### Step 1: Sum of known sides
The perimeter is the sum of all sides:
\[
7 + 2 + 4 + 7 + 2 + 4 + E = 29
\]
#### Step 2: Solve for \( E \)
\[
26 + E = 29
\]
\[
E = 29 - 26
\]
\[
E = 3 \text{ cm}
\]
Answer for Figure 5:
\[
\boxed{3}
\]
---
Figure 6:
-
Given: Perimeter = 25 cm
-
Known sides: 6 cm, 2 cm, 3 cm
-
Unknown side: \( F \)
#### Step 1: Sum of known sides
The perimeter is the sum of all sides:
\[
6 + 2 + 3 + F = 25
\]
#### Step 2: Solve for \( F \)
\[
11 + F = 25
\]
\[
F = 25 - 11
\]
\[
F = 14 \text{ cm}
\]
Answer for Figure 6:
\[
\boxed{14}
\]
---
Final Answers:
1. \( \boxed{2} \)
2. \( \boxed{11} \)
3. \( \boxed{12} \)
4. \( \boxed{9} \)
5. \( \boxed{3} \)
6. \( \boxed{14} \)
Parent Tip: Review the logic above to help your child master the concept of perimeter with missing side.
