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.