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SSC CHSL 2021 PYQ — Question 55

SSC CHSL - 15 April 2021 - Shift 1 • Quantitative Aptitude • Q55

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Δ\DeltaABC ~ Δ\DeltaPQR. The perimeters of Δ\DeltaABC and Δ\DeltaPQR are 72 cm and 43.2 cm, respectively. What is the ratio of the area of Δ\DeltaABC to the area of Δ\DeltaPQR?

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 25 : 9.

The ratio of Area ΔABC to Area ΔPQR = (The ratio of Perimeter of ΔABC to Perimeter of ΔPQR)2

⇒ The ratio of Area ΔABC/ Area ΔPQR = (72 × 72) : (43.2 × 43.2)

⇒ The ratio of Area ΔABC/ Area ΔPQR = (72 × 72 × 100) : (432 × 432)

⇒The Ratio of Area ΔABC to Area ΔPQR = 100 : 36 

⇒ 25 : 9