I can see that you've uploaded an image containing a set of mathematical questions related to perimeters. I'll extract the questions and solve them one by one.

Extracted Questions:

1. Find the perimeter of each of the following shapes:

   • (a) A triangle of sides 3 cm, 4 cm, and 5 cm.
   • (b) An equilateral triangle of side 9 cm.
   • (c) An isosceles triangle with equal sides 8 cm each and a third side of 6 cm.

2. Find the perimeter of a triangle with sides measuring 10 cm, 14 cm, and 15 cm.

3. Find the perimeter of a regular hexagon with each side measuring 8 m.

4. Find the side of the square whose perimeter is 20 m.

5. The perimeter of a regular pentagon is 100 cm. How long is each side?

6. A piece of string is 30 cm long. What will be the length of each side if the string is used to form:

   • (a) A triangle.
   • (b) A square.
   • (c) A pentagon.

I'll now solve these problems step by step.

Solutions:

1. Perimeter of the triangle:

   • (a) Perimeter = $3 + 4 + 5 = 12 \, \text{cm}$.
   • (b) Perimeter = $3 \times 9 = 27 \, \text{cm}$.
   • (c) Perimeter = $8 + 8 + 6 = 22 \, \text{cm}$.

2. Perimeter of the triangle:

   • Perimeter = $10 + 14 + 15 = 39 \, \text{cm}$.

3. Perimeter of the regular hexagon:

   • Perimeter = $6 \times 8 = 48 \, \text{m}$.

4. Finding the side of the square:

   • Perimeter = $4 \times \text{side}$.
   • $20 = 4 \times \text{side}$, so $\text{side} = 5 \, \text{m}$.

5. Finding the side of the regular pentagon:

   • Perimeter = $5 \times \text{side}$.
   • $100 = 5 \times \text{side}$, so $\text{side} = 20 \, \text{cm}$.

6. Using a 30 cm string to form shapes:

   • (a) For a triangle: Length of each side = $\frac{30}{3} = 10 \, \text{cm}$.
   • (b) For a square: Length of each side = $\frac{30}{4} = 7.5 \, \text{cm}$.
   • (c) For a pentagon: Length of each side = $\frac{30}{5} = 6 \, \text{cm}$.

Would you like detailed explanations for any of these solutions?

Here are some related questions for practice:

1. How do you calculate the perimeter of an irregular polygon?
2. What is the formula for the perimeter of a parallelogram?
3. How can you calculate the area of a regular hexagon using its side length?
4. If a circle has a circumference of 31.4 cm, what is its radius?
5. How is the concept of perimeter applied in real-world scenarios, such as fencing a garden?

Tip: Always double-check units while calculating the perimeter to ensure consistency.