Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
22nd September, 2024

Notice;


The single side length of the ascribed regular hexagon, the inscribed regular pentagon, the inscribed square, and the inscribed equilateral triangle are equal.


It is 39 units.


Therefore;


Area green is;


Area regular hexagon with single side length 39 units - Area regular pentagon with single side length 39 units + Area square with single side length 39 units - Area equilateral triangle with single side length 39 units.


= (9126/4tan(180/6)) - (7605/4tan(180/5)) + (39*39) - ½(39)²sin60

= 3951.67391747 - 2616.8461263 + 1521 - 658.612319578

= 2197.21547159 square units.

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