CAT 2021 Geometry & Mensuration Question (Medium)

Question

If the area of a regular hexagon is equal to the area of an equilateral triangle of side 12 cm, then the length, in cm, of each side of the hexagon is

Accepted Answer

Step 1 Area of equilateral triangle _ triangle 4 times 12 2 4 times 144 36 , 2 --- Step 2 Area of regular hexagon with side _ 2 times a 2 Equating both areas 2 times a 2 36 Divide both sides by 2 times a 2 36 Multiply both sides by 2 3a 2 72 Rightarrow a 2 24 Rightarrow a 2 --- Final Answer 2

CAT 2021

Quantitative

Geometry & Mensuration

Medium

If the area of a regular hexagon is equal to the area of an equilateral triangle of side 12 cm, then the length, in cm, of each side of the hexagon is

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