Solve this multiple-choice question and choose the correct option.

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

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 metersSo, √5y² = 9 √5 ∴ y= 9Thus, breadth = 9 m and length = 18 m ∴ Perimeter = 2 (18 + 9) m = 54m.

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