Question
Find the area of a regular hexagon if its side is
two-fifths the side of a square with perimeter 100 cm.Solution
ATQ,
Side of square = (100/4) = 25 cm
Side of regular hexagon = (2/5) × 25 = 10 cm
Area of regular hexagon = 6 × (√3/4) × side²
= 6 × (√3/4) × 10²
= 6 × (√3/4) × 100
= 150√3 cm²
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