1. **Problem:** Find the perimeter of the polygon with sides 8 in., 10 in., 7 in., and 11 in. 2. **Formula:** The perimeter $P$ of a polygon is the sum of the lengths of all its sides: $$P = \text{side}_1 + \text{side}_2 + \cdots + \text{side}_n$$ 3. **Calculation:** $$P = 8 + 10 + 7 + 11$$ $$P = 36$$ 4. **Answer:** The perimeter is **36 inches**. --- 1. **Problem:** Find the perimeter of an octagon with all sides congruent and one side 3 in. 2. **Formula:** For a regular polygon with $n$ sides each of length $s$: $$P = n \times s$$ 3. **Calculation:** $$P = 8 \times 3$$ $$P = 24$$ 4. **Answer:** The perimeter is **24 inches**. --- 1. **Problem:** Find the perimeter of a square with side length 12 cm. 2. **Formula:** For a square with side length $s$: $$P = 4 \times s$$ 3. **Calculation:** $$P = 4 \times 12$$ $$P = 48$$ 4. **Answer:** The perimeter is **48 centimeters**. --- 1. **Problem:** Find the perimeter of a pentagon with all sides congruent and one side 6 ft. 2. **Formula:** For a regular polygon with $n$ sides each of length $s$: $$P = n \times s$$ 3. **Calculation:** $$P = 5 \times 6$$ $$P = 30$$ 4. **Answer:** The perimeter is **30 feet**. --- 1. **Problem:** Find the perimeter of a pentagon with sides 8, 5, 4, 10, and 4 units. 2. **Formula:** Sum all side lengths: $$P = 8 + 5 + 4 + 10 + 4$$ 3. **Calculation:** $$P = 31$$ 4. **Answer:** The perimeter is **31 units**. --- 1. **Problem:** Find the perimeter of a polygon with all sides congruent and one side 5 units. 2. **Note:** The number of sides is not given, so we cannot calculate the perimeter without it. 3. **Answer:** Insufficient information to find the perimeter.