https://file.aiquickdraw.com/mathbot/file/1728246083543qzm6q9l9.jpg

Let's solve the problem by calculating the perimeter of the L-shaped figure.

### Given:
- Vertical sides: \( 13.25 \, \text{cm} \) and \( 7.25 \, \text{cm} \)
- Horizontal sides: \( 22.75 \, \text{cm} \) and \( 7.75 \, \text{cm} \)

Since the shape is made entirely of right angles, we need to find the total perimeter by summing the lengths of all outer edges.

### Perimeter Calculation:
The perimeter is the sum of all the outer sides of the figure. In the L-shape, the figure is made up of:

- Two vertical sides: \( 13.25 \, \text{cm} \) and \( 7.25 \, \text{cm} \)
- Two horizontal sides: \( 22.75 \, \text{cm} \) and \( 7.75 \, \text{cm} \)

We can observe that the figure forms an L, so we don’t need to add the overlapping parts again.

- Sum of all distinct side lengths:
  \[
  P = 13.25 + 7.25 + 22.75 + 7.75
  \]

- Performing the addition:
  \[
  P = 51 \, \text{cm}
  \]

Thus, the perimeter of the figure is **51 cm**, which corresponds to option **A**.

### Do you want further details or have any questions?

Here are five related questions for further practice:
1. How would you calculate the area of this L-shaped figure?
2. What is the perimeter of a rectangle with dimensions 13.25 cm and 22.75 cm?
3. If one side of the L-shape is doubled, how would that affect the perimeter?
4. How do you find the perimeter of a more complex shape with curves?
5. What other methods can you use to solve perimeter problems with multiple shapes?

**Tip**: Always double-check the shape’s structure to ensure you don’t miss any sides or over-count shared boundaries.

Find the perimeter of the figure. All angles in the figure are right angles.

Learn how to calculate the perimeter of an L-shaped figure with right angles. This geometry problem involves summing the lengths of all outer sides. Perfect for students in Grades 6-8.

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