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Question
The base of a parallelogram is thrice it height. If its area is 768 cm2, find the base and the height of the parallelogram.
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Solution
Area of the parallelogram = 768 cm2
Let the height of the parallelogram = x
Then base = 3x
∴ Area = Base × Height
⇒ 768 = 3x × x
⇒ 768 = 3x2
⇒ x2 =`768/3` = 256 cm
∴ x = `sqrt(16xx16)` = 16 cm
∴ Base = 3 × 16 = 48 cm
and height = x = 16 cm
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