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SeanAtt SeanAtt
  • 24-03-2015
  • Mathematics
Answered

Find the area of a regular hexagon with an apothem 17.3 miles long and a side 20 miles long

  1. 956 mi(2)
  2. 1038 mi(2)
  3. 1352 mi(2)
  4. 1124 mi(2)

Verified Answer :

RedRicin
RedRicin RedRicin
  • 24-03-2015

The area of a hexagon is \(\frac{3 \sqrt{3} }{2} a^{2}\) where a = one side

\(\frac{3 \sqrt{3} }{2} 20^{2}\)

\(\frac{3*200 \sqrt{3} }{2}\)

\(\frac{600 \sqrt{3} }{2}\)

\(300 \sqrt{3}\) ≈ 1038 mi²

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