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Perimeter of Different Shapes Worksheet - Free Printable

Perimeter of Different Shapes Worksheet

Educational worksheet: Perimeter of Different Shapes Worksheet. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Perimeter of Different Shapes Worksheet
To solve the problem, we need to find the perimeter of each rectilinear shape. The perimeter is the total length of the boundary of a shape. We will calculate the perimeter for each shape step by step.

---

Shape 1:


The given dimensions are:
- Top side: 9 cm
- Right side: 9 cm
- Bottom side: 15 cm
- Left side: 11 cm

#### Step 1: Identify missing sides
The shape is composed of straight lines, and we can infer the lengths of the missing sides by analyzing the structure:
- The top side is 9 cm.
- The right side is 9 cm.
- The bottom side is 15 cm.
- The left side is 11 cm.
- The remaining horizontal segment (between the top and bottom sides) is \( 15 - 9 = 6 \) cm.
- The remaining vertical segment (between the left and right sides) is \( 11 - 9 = 2 \) cm.

#### Step 2: Calculate the perimeter
The perimeter is the sum of all the sides:
\[
\text{Perimeter} = 9 + 6 + 9 + 2 + 11 + 15 = 52 \text{ cm}
\]

---

Shape 2:


The given dimensions are:
- Top side: 25 mm
- Right side: 6 mm
- Bottom side: 18 mm
- Left side: 22 mm

#### Step 1: Identify missing sides
The shape is composed of straight lines, and we can infer the lengths of the missing sides by analyzing the structure:
- The top side is 25 mm.
- The right side is 6 mm.
- The bottom side is 18 mm.
- The left side is 22 mm.
- The remaining horizontal segment (between the top and bottom sides) is \( 25 - 18 = 7 \) mm.
- The remaining vertical segment (between the left and right sides) is \( 22 - 6 = 16 \) mm.

#### Step 2: Calculate the perimeter
The perimeter is the sum of all the sides:
\[
\text{Perimeter} = 25 + 7 + 6 + 16 + 18 + 22 = 94 \text{ mm}
\]

---

Shape 3:


The given dimensions are:
- Top side: 2.5 m
- Right side: 1.2 m
- Bottom side: 0.8 m
- Left side: 0.5 m
- Other segments: 1 m, 0.5 m

#### Step 1: Identify missing sides
The shape is composed of straight lines, and we can infer the lengths of the missing sides by analyzing the structure:
- The top side is 2.5 m.
- The right side is 1.2 m.
- The bottom side is 0.8 m.
- The left side is 0.5 m.
- The remaining horizontal segment (between the top and bottom sides) is \( 2.5 - 1 = 1.5 \) m.
- The remaining vertical segment (between the left and right sides) is \( 1.2 - 0.5 = 0.7 \) m.

#### Step 2: Calculate the perimeter
The perimeter is the sum of all the sides:
\[
\text{Perimeter} = 2.5 + 1 + 0.5 + 0.7 + 1.2 + 0.8 + 0.5 = 7.2 \text{ m}
\]

---

Shape 4:


The given dimensions are:
- Top side: 2.5 cm
- Right side: 2 cm
- Bottom side: 5 cm
- Left side: 1 cm
- Other segments: 1.5 cm, 2.5 cm

#### Step 1: Identify missing sides
The shape is composed of straight lines, and we can infer the lengths of the missing sides by analyzing the structure:
- The top side is 2.5 cm.
- The right side is 2 cm.
- The bottom side is 5 cm.
- The left side is 1 cm.
- The remaining horizontal segment (between the top and bottom sides) is \( 5 - 2.5 = 2.5 \) cm.
- The remaining vertical segment (between the left and right sides) is \( 2 - 1.5 = 0.5 \) cm.

#### Step 2: Calculate the perimeter
The perimeter is the sum of all the sides:
\[
\text{Perimeter} = 2.5 + 1.5 + 2 + 0.5 + 1 + 2.5 + 5 = 15 \text{ cm}
\]

---

Final Answers:


\[
\boxed{52, 94, 7.2, 15}
\]
Parent Tip: Review the logic above to help your child master the concept of perimeter of irregular polygons worksheet.
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