Question

calculate the perimeter of the given irregular shape. type only the number value in the answer space to the nearest whole number.

Explanation:

Step1: Identify total vertical/horizontal lengths

First, find the total height of the shape: $2 + 6 + 2 = 10$ cm.
The top/bottom horizontal length is 8 cm, and the inner horizontal segments: $8 - 3 = 5$ cm (each inner horizontal side).

Step2: Sum all outer edges

Calculate outer perimeter components:
Horizontal outer edges: $8 + 8 = 16$ cm
Vertical outer edges: $10 + 10 = 20$ cm
Inner vertical edges: $6 + 6 = 12$ cm
Inner horizontal edges: $5 + 5 = 10$ cm

Step3: Sum all perimeter segments

Add all components together:
$16 + 20 + 12 + 10$

Answer:

48