To find: The area of a regular hexagon whose span is 36.

Answer to Problem 24RP
Area of the regular hexagon with span 36 is
Explanation of Solution
Given Information:
Span of a regular hexagon is
Formula used:
Area of a regular hexagon
Calculation:
Span of a regular hexagon is
Join the diagonals of the regular hexagon and then join midpoints of BC and EF
We get
Here
We have
Using trigonometry, we have in
So, each side of a regular hexagon
Area of a regular hexagon
Where
Hence, area of the regular hexagon quadrilateral is
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