Geometry help?

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A regular hexagon has sides of length 12 cm. If the length of the apothem is 6�ã 3 cm, what is the area of the polygon?

2007-10-26 04:48:17 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

2 answers

area
= (1/2)perimeter x apothem
= (1/2)(6*12)(6sqrt(3))
= 374.12 cm^2

2007-10-26 04:52:13 · answer #1 · answered by sahsjing 7 · 0⤊ 0⤋

A = aP/2 where a = apothem and P = perimeter
P = 6*12 = 72 cm
I assume 6ï¿½Ã£ 3 cm means 6 sqrt(3) cm
Thus A = 6sqrt(3) *72 *.5 = 216sqrt(3) cm^2 = 374.12 cm^2

2007-10-26 11:58:09 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋