Question

dependent p: find perimeter of polygons
due date points 100 submitting an external tool attempts 0 allowe
what is the perimeter of this shape?
type your answer in the box.
29 centimeters

Explanation:

Step1: Identify horizontal side lengths

First, calculate the total horizontal distance. The bottom is 7 in. The top segments: $7 - 3 + 1 + 3 = 8$ in, and the other horizontal segments sum to match the bottom/top. Total horizontal perimeter parts: $7 + 7 + 1 + 3 + (7-3-1) + (7-2-2) = 7+7+1+3+3+3 = 24$ in (alternatively, we can use the "rectangle method" by accounting for protrusions).

Step2: Identify vertical side lengths

The left side is 8 in. The vertical protrusions: we have two extra 2 in segments from the indent and the steps. Total vertical perimeter parts: $8 + 8 + 2 + 2 + 2 + 2 = 24$ in.

Step3: Sum all sides

Add total horizontal and vertical lengths.
$\text{Total Perimeter} = 24 + 16 = 40$ in

*(Alternative simplified step: Treat the shape as a base rectangle of $8$ in $\times7$ in, then add the extra vertical segments from the indent and steps:
Base rectangle perimeter: $2\times(8+7)=30$ in
Extra vertical lengths: $2+2+2+2=8$ in
Extra horizontal length correction: The top indent adds 2 in (the two vertical sides of the indent), wait no—corrected: the full perimeter is $2\times(8+7) + 2\times2 + 2\times2 = 30 + 4 + 4 = 40$ in)*

Answer:

40 inches