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Answer:
5.375 in. to the nearest thousandth.
Step-by-step explanation:
Area of a regular heptagon
= 7/4 * cot(pi/7) * s^2 where s is the length of one side.
105 = 7/4 * cot(pi/7) * s^2
s^2 = 105 / (7/4 cot (pi/7)
= 28.8945
s = sqrt 28.8945
= 5.375 in.