Question

find the perimeter of the figure below, in inches.

Explanation:

Step1: Identify side - lengths

The figure has side - lengths of 7.8 in, 19.2 in, and 8.7 in. Count the number of each type of side. There are 8 sides of length 7.8 in, 2 sides of length 19.2 in, and 2 sides of length 8.7 in.

Step2: Calculate perimeter

The perimeter \(P\) is the sum of the lengths of all sides. \(P=(8\times7.8)+(2\times19.2)+(2\times8.7)\). First, calculate \(8\times7.8 = 62.4\), \(2\times19.2=38.4\), and \(2\times8.7 = 17.4\). Then \(P=62.4 + 38.4+17.4\).

Step3: Sum up the results

\(P=62.4+38.4 + 17.4=118.2\) in.

Answer:

118.2 in