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A rectangular plot is half as long again as it is board and is area is `2/3` hectares , Then is length is :


Options:
A .  100 m
B .  33.33 m
C .  66.66 m
D .  `(100sqrt(3))/(3)`
Answer: Option A

Let breadth  = `x` metres.      Then , length = `(3/2 x)` metres.

Area = `(2/3 xx 10000) m^2`

`:.`       `2/3 x xx x = 2/3 xx 10000`

`hArr      x^2 = 4/9 xx 10000`                `hArr    x =  2/3 xx 100`

`:.`        Length  = `3/2 x = (3/2 xx 2/3 xx 100)`m =  100 m.



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