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Question

In ABC, a line through A cuts the side BC at D such that BD : DC = 4:5. If the area of ABD=60cm2, then the area of ADC is

A
62.50cm2
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B
58.25cm2
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C
93.75cm2
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D
75cm2
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Solution

The correct option is C 93.75cm2
BD : DC = 4:5
Area of ABD=60cm2
AreaofABDAreaofADC=(BD)2(CD)2
60AreaofADC=(4x)2(5x)2
AreaofADC=60×25x16x=93.75cm2
1160747_902372_ans_0be2e04d8c3348f0a4d91dd8a8d44a60.jpg

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