Question

the figure was created by repeatedly reflecting triangle nmp. what is the perimeter of the figure? 36 in. 48 in. 42 in. 44 in. figure may not be drawn to scale.

Explanation:

Step1: Identify side - lengths on perimeter

The figure is made by reflecting triangle NMP. The outer - side lengths that contribute to the perimeter are 6 in, 8 in, 6 in, 8 in, 6 in, 8 in.

Step2: Calculate perimeter

Perimeter \(P=6 + 8+6 + 8+6 + 8\).
We can rewrite it as \(P=(6 + 8)\times3\).
First, \(6+8 = 14\). Then \(14\times3=42\) in.

Answer:

42 in.