Answer: The correct option is (D) 140 sq. units.
Step-by-step explanation: We are given to find the area of the polygon shown in the figure.
Let us divide the figure into two rectangles A and B as shown in the attached image below.
The dimensions of the rectangle A are
length, l = 17 - 11 = 6 units and width, w = 10 - 5 = 5 units.
So, the area of rectangle A is given by
[tex]AREA_A=l\times w=6\times5=30~\textup{sq. units}.[/tex]
Similarly, the dimensions of the rectangle B are
length, l' = 11 units and width, w' = 10 units.
So, the area of rectangle B is given by
[tex]AREA_B=l'\times w'=11\times10=110~\textup{sq. units}.[/tex]
Therefore, the total area of the given polygon will be
[tex]AREA=AREA_A+AREA_B=30+110=140~\textup{sq. units}.[/tex]
Thus, the required area of the given polygon is 140 sq. units.
Option (D) is CORRECT.
