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To find the perimeter of the given L-shaped figure, we first need to determine the missing side and then sum up the lengths of all sides.

### Step-by-step breakdown:

1. **Label the sides:**
   - The known sides are:
     - Vertical sides: 6 cm, 15 cm, and 10 cm.
     - Horizontal sides: 14 cm and 8 cm.

2. **Determine the missing side:**
   - The vertical side that is missing corresponds to the difference between the 15 cm side (full vertical length on the right) and the 6 cm side (upper vertical segment). 
   - So, the missing side is \( 15 \, \text{cm} - 6 \, \text{cm} = 9 \, \text{cm} \).

3. **Add all the sides to calculate the perimeter:**
   - Perimeter = Sum of all sides = \( 6 \, \text{cm} + 9 \, \text{cm} + 15 \, \text{cm} + 14 \, \text{cm} + 8 \, \text{cm} + 10 \, \text{cm} \)
   - Perimeter = \( 62 \, \text{cm} \).

So, the perimeter of the figure is **62 cm**.

Would you like further details on any step? 

Here are five related questions for deeper understanding:
1. How do we find the perimeter of more complex polygons?
2. What is the formula for the perimeter of a rectangle?
3. How can we use coordinates to find the perimeter of a shape?
4. What is the difference between perimeter and area?
5. How can we calculate the perimeter if the shape is irregular?

**Tip:** Always ensure that all measurements are in the same units when calculating perimeter or area.

Find the perimeter of the L-shaped figure. One side length is missing. Assume that all intersecting sides meet at right angles.

Learn how to find the perimeter of an L-shaped figure with one missing side length by using basic geometry and perimeter formulas. This problem is suitable for students in Grades 5-7.

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