Therefore, the perimeter of the polygon is 66 cm.
Here are the steps to find the perimeter of the polygon based on the given statement:
1. List the given side lengths:
The provided statement mentions the lengths of the polygon's sides as follows:
- Side 1: 7 cm
- Side 2: 7 cm
- Side 3: 12 cm
- Side 4: 11 cm
- Side 5: 11 cm
- Side 6: 8 cm
- Side 7: 10 cm
2. Add up the side lengths:
Sum the lengths of all the sides to find the perimeter:
![\[ \text{Perimeter} = 7 \, \text{cm} + 7 \, \text{cm} + 12 \, \text{cm} + 11 \, \text{cm} + 11 \, \text{cm} + 8 \, \text{cm} + 10 \, \text{cm} \]](https://img.qammunity.org/2024/formulas/mathematics/college/mzhzosf1dxiyy4h6jzoe2yj6ncmhtvlspp.png)
3. Perform the addition:
![\[ \text{Perimeter} = 66 \, \text{cm} \]](https://img.qammunity.org/2024/formulas/mathematics/college/1j9bjgiysbmq72a2ghagbl49ejyby2kkjz.png)
Therefore, the perimeter of the polygon is
which represents the total distance around the polygon, considering the lengths of all its sides.
The probable question maybe:
What is the perimeter of the polygon described in the given statement, where the lengths of the sides are as follows: 7 cm, 7 cm, 12 cm, 11 cm, 11 cm, 8 cm, and 10 cm?