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Q.

What will be the total area of the following figure?

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a

2 sq. cm

b

3 sq. cm

c

9 sq. cm

d

8 sq. cm

answer is C.

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Detailed Solution

Area of a rectangle is =

Area of a square =

We will split the figure into rectangles:
Calculating the area of ABCD and EFHG,
Case 1:
area of ABCD:
Length of DC= Length of AB =5 cm
Length of AD= Length of BC = 1 cm
Area of rectangle of ABCD
=

sq. cm
= 5 sq. cm
Case 2:
Area of EFHG:
Length of EG= Length of FH= 4 cm
Length of EF= Length of GH = 1 cm
Area of EFHG
=

sq. cm
= 4 sq. cm
So total area of the figure
Total area of the figure is
= area of ABCD+ area of EFGH
=(5+4) sq. cm
=9 sq. cm.
Total area of the figure is 9 sq. cm.
Therefore, option 3 is the correct answer.

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