Question

What is the area of the polygon below

Answer 1

separate it into two different shapes

Answer 2

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

`AREA_A=l* b=10*3=30~\textup{sq. units}.`

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

`AREA_B=l'* b'=13*9=117~\textup{sq. units}.`

Therefore, the area of the polygon is

`AREA=AREA_A+AREA_B=30+117=147~\textup{sq. units}.`

Thus, the required area of th given polygon is 147 sq. units.

Option (D) is CORRECT.