1.  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?
A. 100 meters
B. 66.66 meters
C. 33 meters
D. (100/ √ 3 ) meters

Answer: Option A

Explanation:

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