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Question

Find the area of the figure given below (in sq. inches).


A
48
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B
64
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C
84
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D
96
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Solution

The correct option is C 84

The area of the figure can be calculated in three steps:

i) Find the area of the small rectangle.

ii) Find the area of the large rectangle.

iii) Find the area of the triangle

i) Area of the small rectangle = length x breadth = 5 x 6 = 30 inches2

ii) Area of the large rectangle = 12 x 4 = 48 inches2

iii) Area of the triangle =
= 12×base×height
= 6 inches2

Area of the shape = Area of the small rectangle + Area of the large rectangle + Area of the triangle = (30 + 48 + 6) inches2 = 84 inches2


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