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Perimeter of a Polygon worksheet featuring nine different polygons with labeled side lengths for calculating perimeter.

Worksheet titled "Perimeter of a Polygon" with nine geometric shapes, each labeled with side lengths, and instructions to find the perimeter by adding side lengths and including units.

Worksheet titled "Perimeter of a Polygon" with nine geometric shapes, each labeled with side lengths, and instructions to find the perimeter by adding side lengths and including units.

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Show Answer Key & Explanations Step-by-step solution for: Perimeter Worksheets
To solve the problem of finding the perimeter of each polygon, we need to add up the lengths of all the sides for each shape. Let's go through each part step by step.

---

Part (a):


The shape is a triangle with side lengths:
- 6 cm
- 8 cm
- 10 cm

Perimeter:
\[
6 \, \text{cm} + 8 \, \text{cm} + 10 \, \text{cm} = 24 \, \text{cm}
\]

Answer:
\[
\boxed{24 \, \text{cm}}
\]

---

Part (b):


The shape is a rhombus with all sides equal to 9 ft.

Perimeter:
\[
9 \, \text{ft} + 9 \, \text{ft} + 9 \, \text{ft} + 9 \, \text{ft} = 36 \, \text{ft}
\]

Answer:
\[
\boxed{36 \, \text{ft}}
\]

---

Part (c):


The shape is a pentagon with side lengths:
- 7 m
- 8 m
- 7 m
- 8 m
- 7 m

Perimeter:
\[
7 \, \text{m} + 8 \, \text{m} + 7 \, \text{m} + 8 \, \text{m} + 7 \, \text{m} = 37 \, \text{m}
\]

Answer:
\[
\boxed{37 \, \text{m}}
\]

---

Part (d):


The shape is a parallelogram with side lengths:
- 12 in
- 10 in
- 12 in
- 10 in

Perimeter:
\[
12 \, \text{in} + 10 \, \text{in} + 12 \, \text{in} + 10 \, \text{in} = 44 \, \text{in}
\]

Answer:
\[
\boxed{44 \, \text{in}}
\]

---

Part (e):


The shape is a trapezoid with side lengths:
- 4 km
- 2.5 km
- 4 km
- 3 km

Perimeter:
\[
4 \, \text{km} + 2.5 \, \text{km} + 4 \, \text{km} + 3 \, \text{km} = 13.5 \, \text{km}
\]

Answer:
\[
\boxed{13.5 \, \text{km}}
\]

---

Part (f):


The shape is a hexagon with side lengths:
- 6.6 mm
- 6.6 mm
- 6.6 mm
- 6.6 mm
- 6.6 mm
- 6.6 mm

Since all sides are equal, this is a regular hexagon.

Perimeter:
\[
6.6 \, \text{mm} \times 6 = 39.6 \, \text{mm}
\]

Answer:
\[
\boxed{39.6 \, \text{mm}}
\]

---

Part (g):


The shape is a triangle with side lengths:
- 7 in
- 15 in
- 10 in

Perimeter:
\[
7 \, \text{in} + 15 \, \text{in} + 10 \, \text{in} = 32 \, \text{in}
\]

Answer:
\[
\boxed{32 \, \text{in}}
\]

---

Part (h):


The shape is a rectangle with side lengths:
- 11 cm
- 9 cm
- 11 cm
- 9 cm

Perimeter:
\[
11 \, \text{cm} + 9 \, \text{cm} + 11 \, \text{cm} + 9 \, \text{cm} = 40 \, \text{cm}
\]

Answer:
\[
\boxed{40 \, \text{cm}}
\]

---

Part (i):


The shape is a hexagon with side lengths:
- 2 m
- 2 m
- 2 m
- 2 m
- 2 m
- 2 m

Since all sides are equal, this is a regular hexagon.

Perimeter:
\[
2 \, \text{m} \times 6 = 12 \, \text{m}
\]

Answer:
\[
\boxed{12 \, \text{m}}
\]

---

Final Answers:


\[
\boxed{24 \, \text{cm}, 36 \, \text{ft}, 37 \, \text{m}, 44 \, \text{in}, 13.5 \, \text{km}, 39.6 \, \text{mm}, 32 \, \text{in}, 40 \, \text{cm}, 12 \, \text{m}}
\]
Parent Tip: Review the logic above to help your child master the concept of perimeter worksheet for grade 4.
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