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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)

Sagot :

RedRicin
The area of a hexagon is [tex] \frac{3 \sqrt{3} }{2} a^{2} [/tex] where a = one side

[tex] \frac{3 \sqrt{3} }{2} 20^{2} [/tex]

[tex] \frac{3*200 \sqrt{3} }{2} [/tex]

[tex] \frac{600 \sqrt{3} }{2} [/tex]

[tex]300 \sqrt{3} [/tex] ≈ 1038 mi²

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