The length of a rectangular plot is twice of its width. If the length of a diagonal is 9√5 meters, the perimeter of the rectangular is?

27 m
54 m
81 m
None of these

Correct Answer: 54 m

Explanation:

Let breadth = y meters,
Then, length = 2y meters
∴ Diagonal = √y² + (2y)²
= √5y² meters
So, √5y² = 9 √5
∴ y= 9
Thus, breadth = 9 m and length = 18 m
∴ Perimeter = 2 (18 + 9) m = 54m.

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