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Q.

What will be the total area of the following figure?

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a

20 sq. cm

b

40 sq. cm

c

60 sq. cm

d

80 sq. cm

answer is B.

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Detailed Solution

To find the area of figure ABCDEFG.
Area of a rectangle is =

Area of a square =

We will split the figure into rectangle.
Getting the area of ABCD, GFED
Case 1:
Area of ABCD:
Length of AD = Length of BC= 10 cm
Length of DC= Length of AB = 2 cm
Area of the rectangle ABCD
=

sq. cm
=20 sq. cm
Case 2:
Area of DGFE:
Length of GD= length of EF = 10 cm
Length of DE=Length of GF = 2 cm
Area of the rectangle DGFE:
=

sq. cm
=20 sq. cm
Calculating total area of the figure,
Total area of the given figure:
= Area of ABCD+ Area of DGFE
=(20+20) sq. cm
=40 sq. cm
The area of the given figure is 40 sq. cm.
Therefore, option 2 is the correct answer.

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What will be the total area of the following figure?