GATE 2021 ST – Question 10

General Aptitude · Spatial Aptitude: Spatial Reasoning and Visualization · 2 marks · Multiple choice

Corners are cut from an equilateral triangle to produce the regular convex hexagon shown. Find the ratio of hexagon area to original triangle area.

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Correct answer: (A) 2:3

Explanation

If the hexagon side is a,each removed corner triangle has side a and the original triangle has side 3a. Its area is nine times one corner triangle. Removing three such triangles leaves six ninths of the original area. Ratio=6:9=**2:3, A**.

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