What is the area of the polygon below

Question

asked Nov 11, 2018 60.0k views

2 Answers

Ntg · Answer 1 · 2018-11-16T03:43:03+0000

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.