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STALIN [3.7K]
3 years ago
15

What is the area of the polygon below?

Mathematics
2 answers:
sattari [20]3 years ago
5 0
5*11+(10-5)*17=55+85=140
krek1111 [17]3 years ago
3 0

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

Step-by-step 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\times w=6\times5=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'\times w'=11\times10=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.

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