The task is to calculate the perimeter of the figure shown in the image and write the correct number in the answer field. P = __ cm

Hello! Let's solve this geometry problem together.

What do we need to find?

• The perimeter of the figure.

What do we know?

• One side of the figure is 7 cm.
• The bottom side of the figure is 12 cm.

How to calculate the perimeter?

The perimeter is the sum of the lengths of all sides of a figure. We need to find the lengths of all the sides that are not labeled.

Finding the missing sides:

1. Vertical side: Look at the drawing. We have a vertical side that is 7 cm long. The figure has an L-shape. This means that the total vertical height of the figure consists of two parts. One part is 7 cm. If we look at the right side of the figure, we see that its height is the same as the upper part of the large vertical side. If this figure were a rectangle, the total height would be 7 cm. Since the cutout is in the upper right part, the upper right vertical side is equal in length to the lower right vertical side.
2. Horizontal side: The total length of the bottom side of the figure is 12 cm. This length consists of two parts: the lower left horizontal side and the lower right horizontal side. The lower left horizontal side is 7 cm.

Let's find the lengths of the missing sides:

• Lower right horizontal side: The total length of the bottom base is 12 cm. The left part of this base is 7 cm. Therefore, the lower right horizontal side is 12 cm - 7 cm = 5 cm.
• Upper right vertical side: If the figure were a complete rectangle, its height would be 7 cm. The upper left vertical side is 7 cm. The lower right horizontal side is 5 cm. Therefore, the upper right vertical side is 7 cm - 5 cm = 2 cm.

Now we have all the sides:

• Left vertical: 7 cm
• Lower left horizontal: 7 cm
• Lower right horizontal: 5 cm
• Right vertical: 2 cm
• Upper right horizontal: 5 cm
• Upper left horizontal: 7 cm

Let's add up all the sides:

P = 7 cm + 7 cm + 5 cm + 2 cm + 5 cm + 7 cm = 33 cm

Alternative method:

You can imagine this figure as a large rectangle of 12 cm by 7 cm from which a smaller rectangle has been cut out. The width of the cut-out rectangle is 5 cm (12 - 7), and its height is 5 cm (7 - 2). But this is not exactly how it is drawn. You can simply imagine that the figure consists of two rectangles.

The easiest way to think about it is to imagine we're '