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SSC GD 2023 PYQ — Question 60

SSC GD Constable (English) - 6 Feb 2023 - Shift 4 • Quantitative Aptitude • Q60

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In a certain rectangle, the ratio of length to width of the rectangle is 3 : 2 and the area is 150 cm2 . The perimeter of the rectangle is:

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Correct answer: B

Explanation

The correct answer is Option 2 i.e. 50 cm.

We know that,

Area of rectangle = length × breadth

⇒ 150 = 3x × 2x

⇒ 6x2 = 150

⇒ x2 = 25

⇒ x = 5

So,

length = 3x = 15 cm and breadth = 2x = 10 cm

Perimeter of rectangle = 2(length + breadth)

Perimeter = 2(15 + 10) = 2 × 25 = 50 cm