A rectangular plot is half as long again as it broad. The

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A rectangular plot is half as long again as it broad. The area of the lawn is 2/3 hectares. The length of the plot is?

1. 100 meters
2. 66.66 meters
3. 33 meters
4. (100/ √ 3 ) meters

Correct Option: A

Let breadth = b meters.
then, length = 3b/2 meters
∴ b x 3b/2 = 2/3 X 10000
⇒ b² = (4 x 10000)/9
⇒ b = ( 2 X 100)/3 m
∴ Length = (3/2) x (2/3) x 100 m
= 100 m