The area of a parallelogram is 27unit2. 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 units Let's draw a parallelogram ABCD.
Lets assume length of base to be xunits
Given: Height of the parallelogram is one-third of length of the base
Hence, Height of parallelogram =x3units
Area of parallelogram =27unit2
As we know,
Area of parallelogram = Base × Height 27=x×x3
x2=27×3=81
x=√81=√9×9=9units
Hence, Length of base of the parallelogram = 9 units
Option (b) is correct.