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Question

ABCD is a parallelogram and 'O' is Mid-point of AB. If the area of the parallelogram is 74 sq cm, then the area of ΔDOC is:

84382_c74bb12a3c3d4dafb1838092d68c1d67.png

A
158 sq cm
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B
37 sq cm
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C
18.5 sq cm
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D
222 sq cm
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Solution

The correct option is D 37 sq cm
Area of parallelogram ABCD = AB x height (1)

Area of ΔDOC = 12 (CD)(height) = 12 (AB)(height) [ Since, AB = CD ]

=> By (1), we can say Area of ΔDOC = 12 (Area of parallelogram)

=> Area = 37 cm2




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