∆ABC and ∆XYZ are equilateral triangles of 54 cm sides. All smaller triangles like ∆ANM, ∆OCP, ∆QPX etc. are also equilateral triangles. Find the area of the shape MNOPQRM.
Explanation:
Since all triangles are equilateral triangles
This is possible when YM = MN = NZ = 1/3 of YZ = 54/3 = 18 cm.
∴ Side of the regular hexagon MNOPQRM is 18 cm.
∴ Area of the hexagon = 6 × √3/4 × (18)2 = 486√3.
Hence, option (b).
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