Question

find the area of the figure.
the figure is a yellow polygon with top and bottom sides labeled 11 m, and right side has two segments each labeled 6 m.
the area of the figure is blank square meters.

Explanation:

Step1: Analyze the figure's structure

The figure can be thought of as a rectangle when we consider the "indentation" and "protrusion" (the right - angled triangle - like parts). The total height of the figure is \(6 + 6=12\) m, and the length is 11 m. Another way is to notice that we can translate the right - hand triangular part to the left - hand indented part, and the figure becomes a rectangle with length \(l = 11\) m and width \(w=6 + 6 = 12\) m.

Step2: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A=l\times w\), where \(l = 11\) m and \(w = 12\) m. So \(A=11\times12 = 132\) square meters.

Answer:

132