CAT 2025 Geometry & Mensuration Question (Hard)

Question

Let ABCDEF be a regular hexagon and P and Q be the midpoints of AB and CD, respectively. Then, the ratio of the areas of trapezium PBCQ and hexagon ABCDEF is

Optima Learn · Accepted Answer

Let the side of the hexagon be a. The area of the whole hexagon is going to be a 2 2 ! image https optima-learn.b-cdn.net cat-pyq 2025 5ef1a4611d7788e8.png We know that the longest diagonal of a hexagon is 2 times the side of the hexagon. PQ 2 2 1.5a The area of the trapezium Average of parllel side

CAT 2025 Geometry & Mensuration — Previous Year Question

CAT 2025

Quantitative

Geometry & Mensuration

Hard

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