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Question

# The area of a parallelogram is 27 unit2. If height of the parallelogram is one-third of length of the base, find the length of base of the parallelogram?

A
3 units
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B
9 units
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C
6 units
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D
12 units
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Solution

## The correct option is B 9 unitsLet's draw a parallelogram ABCD. Lets assume length of base to be x units Given: Height of the parallelogram is one-third of length of the base Hence, Height of parallelogram =x3 units Area of parallelogram =27 unit2 As we know, Area of parallelogram = Base × Height 27=x×x3 x2=27×3=81 x=√81=√9×9=9 units Hence, Length of base of the parallelogram = 9 units Option (b) is correct.

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