Perimeter- Finding a Missing Side worksheet - Free Printable

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, 3 cm, 5 cm
- Unknown side: \( A \)

#### Step 1: Sum of known sides
The perimeter is the sum of all sides. The figure can be broken down into a rectangle with some internal segments:
- Top side: 10 cm
- Bottom side: 10 cm
- Left side: 9 cm
- Right side: 4 cm
- Internal segments: 3 cm and 5 cm (these are part of the perimeter)

The total perimeter is:
\[
10 + 10 + 9 + 4 + 3 + 5 + A = 38
\]

#### Step 2: Solve for \( A \)
\[
10 + 10 + 9 + 4 + 3 + 5 + A = 38
\]
\[
41 + A = 38
\]
\[
A = 38 - 41
\]
\[
A = -3 \quad \text{(This seems incorrect, let's recheck the setup)}
\]

Re-evaluating the internal segments, we see that the internal segments are not part of the perimeter calculation. The correct approach is:
\[
10 + 10 + 9 + 4 + A = 38
\]
\[
33 + A = 38
\]
\[
A = 38 - 33
\]
\[
A = 5 \quad \text{(Corrected)}
\]

So, the correct value is:
\[
\boxed{5}
\]

---

Figure 2:

- Given: Perimeter = 39 cm
- Known sides: 10 cm, 4 cm, 4 cm, 10 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 \( B \)
\[
10 + 10 + 4 + 4 + B = 39
\]
\[
28 + B = 39
\]
\[
B = 39 - 28
\]
\[
B = 11
\]

So, the value is:
\[
\boxed{11}
\]

---

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 \( C \)
\[
8 + 15 + C = 35
\]
\[
23 + C = 35
\]
\[
C = 35 - 23
\]
\[
C = 12
\]

So, the value is:
\[
\boxed{12}
\]

---

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 \( D \)
\[
9 + 10 + 10 + D = 38
\]
\[
29 + D = 38
\]
\[
D = 38 - 29
\]
\[
D = 9
\]

So, the value is:
\[
\boxed{9}
\]

---

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 \( E \)
\[
7 + 2 + 4 + 7 + 2 + 4 + E = 29
\]
\[
26 + E = 29
\]
\[
E = 29 - 26
\]
\[
E = 3
\]

So, the value is:
\[
\boxed{3}
\]

---

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 \( F \)
\[
6 + 2 + 3 + F = 25
\]
\[
11 + F = 25
\]
\[
F = 25 - 11
\]
\[
F = 14
\]

So, the value is:
\[
\boxed{14}
\]

---

Final Answers:

1. \( A = 5 \)
2. \( B = 11 \)
3. \( C = 12 \)
4. \( D = 9 \)
5. \( E = 3 \)
6. \( F = 14 \)

\[
\boxed{5, 11, 12, 9, 3, 14}
\]