GATE 2022 ES – Question 3

General Aptitude · Spatial Aptitude: Spatial Reasoning and Visualization · 1 mark · Multiple choice

A trapezium has vertices P, Q, R, S in anticlockwise order, PQ∥SR, and side lengths PQ=11,QR=4,RS=6,SP=3 cm. Find the shortest distance between its parallel sides in cm.

1.80
2.40
4.20
5.76

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Correct answer: (B) 2.40

Explanation

The base difference is 5. Let the horizontal projections of the legs be x and 5−x, with height h. Then x²+h²=3² and (5−x)²+h²=4². Subtraction gives 25−10x=7,so x=1.8 and h=√(9−3.24)=**2.40, B**.

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