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Question

# The longer side of a parallelogram is 81 cm and the corresponding altitude is 16 cm. If the length of the shorter side is 24 cm, what is the altitude corresponding to the shorter side?

A
36 cm
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B
48 cm
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C
54 cm
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D
68 cm
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Solution

## The correct option is C 54 cmGiven:Longer side of the parallelogram = 81 cm Altitude corresponding to the longer side = 16 cm Shorter side of the parallelogram = 24 cm Let the altitude corresponding to the shorter side be x Now, area of parallelogram = longer side x altitude corresponding to longer side = shorter side x altitude corresponding to shorter side 81×16=24×x x=81×1624 x=54 cm So, the altitude corresponding to the shorter side is 54 cm long.

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