Answer: The correct option is (D) 147 sq. units.
Step-by-step explanation: We Re 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 = 10 units and breadth, b = 3 units.
So, the area of rectangle A is given by
[tex]AREA_A=l\times b=10\times3=30~\textup{sq. units}.[/tex]
And, the dimensions of rectangle B are
length, l' = 13 units and breadth, b' = 12 - 3 = 9 units.
So, the area of rectangle B is given by
[tex]AREA_B=l'\times b'=13\times9=117~\textup{sq. units}.[/tex]
Therefore, the area of the polygon is
[tex]AREA=AREA_A+AREA_B=30+117=147~\textup{sq. units}.[/tex]
Thus, the required area of th given polygon is 147 sq. units.
Option (D) is CORRECT.
