What is the area of the polygon given below?

Question

asked Jan 18, 2020 112k views

2 Answers

EZI · Answer 1 · 2020-01-23T00:30:49+0000

Answer: The correct option is (A) 186 sq. units.

Step-by-step explanation: We are 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 = 11 units and breadth, b = 6 units.

So, the area of rectangle A is given by

$AREA_A=l* b=11*6=66~\textup{sq. units}.$

And the dimensions of rectangle B are

length, l' = 7 + 11 + 6 = 24 units and breadth, b' = 5 units.

So, the area of rectangle B is given by

$AREA_B=l'* b'=24*5=120~\textup{sq. units}.$

Therefore, the total area of the given polygon is given by

$AREA=AREA_A+AREA_B=66+120=186~\textup{sq. units}.$

Thus, the required area of the given polygon is 186 sq. units.

Option (A) is CORRECT.