Perimeter of Composite Figures Worksheets - Free Printable

To solve the problem of finding the perimeter of each compound shape, we need to add up the lengths of all the sides of each shape. Let's go through each shape step by step.

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Shape 1:

The shape is a pentagon with sides labeled as follows:
- Top side: 6 in
- Two slanted sides: 5 in each
- Bottom side: 7 in
- Left vertical side: 8 in

Perimeter Calculation:
\[
6 + 5 + 5 + 7 + 8 = 31 \text{ in}
\]

Answer:
\[
\boxed{31 \text{ in}}
\]

---

Shape 2:

The shape is an irregular hexagon with sides labeled as follows:
- Top side: 10 yd
- Right side: 4 yd
- Bottom side: 16 yd
- Left side: 6 yd
- Two vertical sides: 2 yd each

Perimeter Calculation:
\[
10 + 4 + 16 + 6 + 2 + 2 = 40 \text{ yd}
\]

Answer:
\[
\boxed{40 \text{ yd}}
\]

---

Shape 3:

The shape is a quadrilateral with sides labeled as follows:
- Top side: 19 ft
- Two vertical sides: 3 ft each
- Bottom side: 8 ft (split into two segments)

Perimeter Calculation:
\[
19 + 3 + 8 + 3 = 33 \text{ ft}
\]

Answer:
\[
\boxed{33 \text{ ft}}
\]

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Shape 4:

The shape is a rectangle with a smaller rectangle cut out from one corner. The outer dimensions are:
- Top and bottom: 17 yd
- Left and right: 12 yd

The inner dimensions of the cut-out are:
- Top and bottom: 7 yd
- Left and right: 3 yd

However, since the inner dimensions do not affect the perimeter of the outer shape, we only consider the outer dimensions.

Perimeter Calculation:
\[
17 + 12 + 17 + 12 = 58 \text{ yd}
\]

Answer:
\[
\boxed{58 \text{ yd}}
\]

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Shape 5:

The shape is a triangle with sides labeled as follows:
- Base: 20 ft
- Two slanted sides: 12 ft and 15 ft

Perimeter Calculation:
\[
20 + 12 + 15 = 47 \text{ ft}
\]

Answer:
\[
\boxed{47 \text{ ft}}
\]

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Shape 6:

The shape is a quadrilateral with sides labeled as follows:
- Top side: 7 in
- Right side: 6 in
- Bottom side: 5 in
- Left side: 3 in + 6 in = 9 in

Perimeter Calculation:
\[
7 + 6 + 5 + 9 = 27 \text{ in}
\]

Answer:
\[
\boxed{27 \text{ in}}
\]

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Shape 7:

The shape is a quadrilateral with sides labeled as follows:
- Top side: 14 ft
- Right side: 10 ft
- Bottom side: 3 ft
- Left side: 11 ft

Perimeter Calculation:
\[
14 + 10 + 3 + 11 = 38 \text{ ft}
\]

Answer:
\[
\boxed{38 \text{ ft}}
\]

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Shape 8:

The shape is an irregular quadrilateral with sides labeled as follows:
- Top side: 8 in
- Right side: 6 in
- Bottom side: 4 in
- Left side: 10 in

Perimeter Calculation:
\[
8 + 6 + 4 + 10 = 28 \text{ in}
\]

Answer:
\[
\boxed{28 \text{ in}}
\]

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Shape 9:

The shape is a complex polygon with multiple sides. We need to sum all the visible sides:
- Top side: 12 yd
- Right side: 3 yd
- Bottom side: 3 yd + 5 yd + 3 yd = 11 yd
- Left side: 4 yd + 5 yd + 3 yd = 12 yd
- Inner horizontal sides: 1.2 yd + 1.2 yd = 2.4 yd

Perimeter Calculation:
\[
12 + 3 + 11 + 12 + 2.4 = 40.4 \text{ yd}
\]

Answer:
\[
\boxed{40.4 \text{ yd}}
\]

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Final Answers:

1. \( \boxed{31 \text{ in}} \)
2. \( \boxed{40 \text{ yd}} \)
3. \( \boxed{33 \text{ ft}} \)
4. \( \boxed{58 \text{ yd}} \)
5. \( \boxed{47 \text{ ft}} \)
6. \( \boxed{27 \text{ in}} \)
7. \( \boxed{38 \text{ ft}} \)
8. \( \boxed{28 \text{ in}} \)
9. \( \boxed{40.4 \text{ yd}} \)