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Regular Hexagon Inscribed inside a Square

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You have a square of area 5 m^2. You need to construct a regular hexagon inscribed in this square. Show how you can find the length of each side, the angles and area of the hexagon and please show the diagram.

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This solution contains necessary logic, stepwise calculation and diagram illustration, in order to solve a geometric puzzle. The complete solution is attached in Word.

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You have a square of area 5 m^2. You need to construct a regular hexagon inscribed in this square. Show how you can find the length of each ...

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  • "Thankyou for the feedback. I have a few question though; With the first statistic about cost below... “According to Sigma-Aldrich catalog, cost of 1L octane is AUD $ 392.00, whereas the cost of 1L ethanol is AUD $196.00. Moreover, if ethanol is obtained from sugar industry as a by-product, it may cost even less. Source of oxygen is ambient atmosphere, so it costs nothing. So ethanol is much cheaper than petrol, in fact it is half-priced: AUD $ (392-196) = $ 196.” I didn't think it made sense because the cost of petrol per litre is normally a dollar something or even less than a dollar not a couple of hundred of dollars. For example, a statistic that I found in america was: "U.S. ethanol production costs are about $1.20 per gallon of ethanol, or $1.82 per gallon on a gasoline-equivalent basis." However, I was wondering whether you could find an Australian statistic. Also, you mentioned that H20 is not a greenhouse gas. However, in the combustion equations it is actually carbon dioxide and water vapour which are produced and they are both greenhouse gases. Finally, how do I calculate the energy efficiency of ethanol and petrol? "
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  • "Didnt really answer my questions but gave me a start at least."
  • "Once again this is tremendous help I can't thank you enough for not only working the problem but explaining in detail how and why!! KR"
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