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 with missing sides.
