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Q.

What will be the total area of the given figure?


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a

9 sq. cm

b

12 sq. cm

c

10 sq. cm

d

8 sq. cm 

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Detailed Solution

1
We have to find the total area of the figure ABCDEGFHI.
Area of a rectangle =
Area of a square =Splitting the given figure into rectangles:
Calculating the area of rectangle ABCD,BDEF and FGHI,
Case 1:
Area of ABCD:
Length of AD = Length of BC=  3 cm
Length of AB = Length of DC= 1 cm
Area of ABCD:
=3 sq. cm
Case 2:
Area of BDEF:
Length of BD = Length of  FE= 1 cm
Length of BF = Length of DE = 3cm
Area of BDEF:
=3 sq. cm
Case 3:
Area of FGHI:
Length of GH= Length of FI= 3 cm
Length of FG = length of  IH=1 cm
Area of FGHI:
=
=3 sq. cm
Calculating the total area of the figure,
Total area of the given figure
=Area of  ABCD +Area of BDEF +Area of FGHI
=(3+3+3) sq. cm
=9 sq. cm.
Therefore, option 1 is correct.
 

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