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SSC Selection Post 2022 PYQ — Question 71

SSC Selection Post - Higher Secondary Level - 09 Feb 2022 - Shift 2 • Quantitative Aptitude • Q71

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The ratio of the perimeter to the length of a rectangle is 5 : 2. If the area of the rectangle is 16 cm2, then find the breadth of the rectangle (in cm).

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 2. 

Let the length of the rectangle be l and the breadth be b

⇒ 2(l+b)l=52{2(l+b)\over l}={5\over2}

⇒ 4(l + b) = 5l

⇒ 4l + 4b = 5l

⇒ b = l4l\over4

⇒ l × b = 16

⇒ l × l4l\over4 = 16

⇒ l2 = 64

⇒ l = 8

⇒ b = 848\over4 = 2 cm