Perimeter Worksheets - Free Printable

To solve the problem, we need to find the perimeter of each shape by determining the lengths of all sides and then summing them up. Let's go through each shape step by step.

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Shape 1:

The shape is a rectangle with some internal lines that do not affect the perimeter. The given dimensions are:
- Top side: 15 cm
- Left side: 11 cm
- Right side: 9 cm (vertical segment)
- Bottom side: 9 cm (horizontal segment)

#### Step 1: Identify the missing side
The bottom side of the shape is split into two segments: one horizontal segment of 9 cm and another horizontal segment that completes the total length of 15 cm. Therefore, the missing horizontal segment is:
\[ 15 - 9 = 6 \text{ cm} \]

#### Step 2: Calculate the perimeter
The perimeter is the sum of all the outer sides:
\[ \text{Perimeter} = 15 + 11 + 9 + 6 + 9 + 11 = 61 \text{ cm} \]

#### Final Answer for Shape 1:
\[ \boxed{61} \]

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Shape 2:

The shape is a rectangle with some internal lines that do not affect the perimeter. The given dimensions are:
- Top side: 25 mm
- Left side: 22 mm
- Right side: 6 mm (vertical segment)
- Bottom side: 18 mm

#### Step 1: Identify the missing side
The bottom side of the shape is split into two segments: one horizontal segment of 18 mm and another horizontal segment that completes the total length of 25 mm. Therefore, the missing horizontal segment is:
\[ 25 - 18 = 7 \text{ mm} \]

#### Step 2: Calculate the perimeter
The perimeter is the sum of all the outer sides:
\[ \text{Perimeter} = 25 + 22 + 6 + 7 + 18 + 22 = 100 \text{ mm} \]

#### Final Answer for Shape 2:
\[ \boxed{100} \]

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Shape 3:

The shape is a rectangle with some internal lines that do not affect the perimeter. The given dimensions are:
- Top side: 2.5 m
- Left side: 0.5 m
- Right side: 1.2 m (vertical segment)
- Bottom side: 1 m (horizontal segment)

#### Step 1: Identify the missing side
The bottom side of the shape is split into two segments: one horizontal segment of 1 m and another horizontal segment that completes the total length of 2.5 m. Therefore, the missing horizontal segment is:
\[ 2.5 - 1 = 1.5 \text{ m} \]

#### Step 2: Calculate the perimeter
The perimeter is the sum of all the outer sides:
\[ \text{Perimeter} = 2.5 + 0.5 + 1.2 + 1.5 + 1 + 0.8 = 7.5 \text{ m} \]

#### Final Answer for Shape 3:
\[ \boxed{7.5} \]

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Shape 4:

The shape is a rectangle with some internal lines that do not affect the perimeter. The given dimensions are:
- Top side: 2.5 cm
- Left side: 1 cm
- Right side: 2 cm (vertical segment)
- Bottom side: 5 cm

#### Step 1: Identify the missing side
The bottom side of the shape is split into two segments: one horizontal segment of 5 cm and another horizontal segment that completes the total length of 2.5 cm. However, we need to account for the internal segments as well. The vertical segments add up to:
\[ 1.5 \text{ cm} \]
The horizontal segments add up to:
\[ 2.5 + 2.5 = 5 \text{ cm} \]

#### Step 2: Calculate the perimeter
The perimeter is the sum of all the outer sides:
\[ \text{Perimeter} = 2.5 + 1 + 1.5 + 2 + 5 + 2.5 = 14.5 \text{ cm} \]

#### Final Answer for Shape 4:
\[ \boxed{14.5} \]

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Final Answers:

1. \( \boxed{61} \)
2. \( \boxed{100} \)
3. \( \boxed{7.5} \)
4. \( \boxed{14.5} \)