Question

look at the composite figure which is not scaled.
what is the perimeter of the figure? type your answer in the box. use \.\ for decimal if necessary

Explanation:

Step1: Identify the sides of the figure

The perimeter of a figure is the sum of all its outer - side lengths. The outer - side lengths of the given composite figure are \(AB = 4.2\) cm, \(BC = 5\) cm, the side equal to \(BC\) (let's call it \(x\)), \(CD\) (where \(CD = 9.4\) cm), \(DE=11.4\) cm, and \(EA = 5\) cm.

Step2: Calculate the perimeter

The perimeter \(P\) is given by the formula \(P=AB + BC+(BC)+CD + DE+EA\).
Substitute the values: \(P = 4.2+5 + 5+9.4+11.4+5\).
First, add the whole numbers: \(5 + 5+5+9.4+11.4=35.8\), then add \(4.2\) to it.
\(P=(4.2)+35.8\).

Answer:

\(40\)