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SSC GD 2019 PYQ — Question 75

SSC GD Constable (English) - 1 March 2019 Shift 1 • Quantitative Aptitude • Q75

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The Area of a rectangle is 27 m2 and its length is 3 times of its breadth. The perimeter of the rectangle is:

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 24 cm.

Let the length and the breadth of the rectangle be a and b respectively.

So,

Area of rectangle = a × b = 27 m2

Also given,

a = 3b

So,

⇒ 3b × b = 27

⇒ 3b2 = 27

⇒ b2 = 9

⇒ b = 3

⇒ a = 3b = 3 × 3 = 9

So,

Perimeter of rectangle = 2(a + b) = 2(3 + 9) = 2 × 12 = 24 m