Question

What is the area of the polygon given below?

Answer 1

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

$AREA_A=l\times b=11\times6=66~\textup{sq. units}.$

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

$AREA_B=l'\times b'=24\times5=120~\textup{sq. units}.$

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.

Answer 2

Answer:

186

Step-by-step explanation:

Cut it 6+7+11=24×5=120

6+11=66

120+66=186