Answer: The correct option is (A) 186 sq. units.
Step-by-step explanation: We are given to find the area of the polygon shown in the figure.
Let us divide the given polygon in two rectangles A and B as shown in the attached figure below.
The dimensions of rectangle A are
length, l = 11 units and breadth, b = 6 units.
So, the area of rectangle A is given by
[tex]AREA_A=l\times b=11\times6=66~\textup{sq. units}.[/tex]
And the dimensions of rectangle B are
length, l' = 7 + 11 + 6 = 24 units and breadth, b' = 5 units.
So, the area of rectangle B is given by
[tex]AREA_B=l'\times b'=24\times5=120~\textup{sq. units}.[/tex]
Therefore, the total area of the given polygon is given by
[tex]AREA=AREA_A+AREA_B=66+120=186~\textup{sq. units}.[/tex]
Thus, the required area of the given polygon is 186 sq. units.
Option (A) is CORRECT.
