Home › Previous year questions › GATE 2023 PI › Question 3GATE 2023 PI – Question 3 General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · Multiple choice
PQRS is a parallelogram with PS = 7 cm, PT = 4 cm, and PV = 5 cm, as shown. PT and PV are perpendicular to QR and RS, respectively. What is RS in cm? The diagram is representative.
$20/7$ $28/5$ $9/2$ $35/4$ Practise this question in The GATE Grind →
Show answer and explanation Correct answer: (B) $28/5$
Explanation The parallelogram area is $PS\times PT=7(4)=28$ cm$^2$. Using the alternative base and height gives $RS\times PV=5RS$.
Therefore $RS=28/5$ cm, **B**.
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