Calculate the perimeter of Figure 1 with given side lengths and missing inner segments.

Question

ScanSolve AI Tutor · Accepted Answer

Here are the perimeters for the given figures:

Figure 1:

Identify all given side lengths.
The given side lengths are $22 \text{ cm}$ , $20 \text{ cm}$ , $14 \text{ cm}$ , and $7 \text{ cm}$ .
Calculate the lengths of the unknown sides.
The total width of the figure is $22 \text{ cm}$ . The bottom horizontal segment shown is $14 \text{ cm}$ . Therefore, the missing inner horizontal segment is $22 \text{ cm} - 14 \text{ cm} = 8 \text{ cm}$ .
The total height of the figure is $20 \text{ cm}$ . The bottom vertical segment shown is $7 \text{ cm}$ . Therefore, the missing inner vertical segment is $20 \text{ cm} - 7 \text{ cm} = 13 \text{ cm}$ .
Sum all the outer side lengths to find the perimeter.
$\text{Perimeter} = 22 \text{ cm} + 20 \text{ cm} + 14 \text{ cm} + 7 \text{ cm} + 8 \text{ cm} + 13 \text{ cm}$ $\text{Perimeter} = 84 \text{ cm}$
The perimeter of Figure 1 is $\boxed{\text{84 cm}}$ .

Figure 2:
Identify all given side lengths.
The given side lengths are $14 \text{ cm}$ (top horizontal), $6 \text{ cm}$ (left vertical), $5 \text{ cm}$ (middle horizontal), $3 \text{ cm}$ (middle vertical), and $4 \text{ cm}$ (right vertical).
Calculate the lengths of the unknown sides.
The

Answer