Question

What is the area of the polygon below?

Answer 1

5*11+(10-5)*17=55+85=140

Answer 2

Answer: The correct option is (D) 140 sq. units.

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

`AREA_A=l* w=6*5=30~\textup{sq. units}.`

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

`AREA_B=l'* w'=11*10=110~\textup{sq. units}.`

Therefore, the total area of the given polygon will be

`AREA=AREA_A+AREA_B=30+110=140~\textup{sq. units}.`

Thus, the required area of the given polygon is 140 sq. units.

Option (D) is CORRECT.