2007-12-04 17:59:52 · 5 answers · asked by Savannah J 2 in Science & Mathematics ➔ Mathematics
The hexagon is made of 6 equilateral triangles with a side of 4. Height is 2√3, so area is (4/2)(2√3) = 4√3. So 6 of those is 24√3.
2007-12-04 18:06:56 · answer #1 · answered by Philo 7 · 2⤊ 0⤋
A regular hexagon contains 6 equilateral triangles.
The height (altitude) of these triangles you can get using the Pythagorean theorem, since if you cut them in half you get two right triangles.
h = â(4^2 - 2^2) = â(12) = 2â(3) in
So the area of each triangle is
bh/2 = 4 * 2â(3)/2 = 4â(3) in^2
and the area of the hexagon is
6*4â(3) = 24â(3) in^2
2007-12-05 02:13:10 · answer #2 · answered by a²+b²=c² 4 · 0⤊ 0⤋
24 because "regular" means all the side are equal. in a hexagon.. there are 6 sides.. 6 by 4, got the picture?
2007-12-05 02:07:35 · answer #3 · answered by Anonymous · 0⤊ 1⤋
http://www.drking.plus.com/hexagons/misc/area.html
A = (2â3)/3 L^2 = (2â3)/3 16 sq in = 18.47 sq in
This site will show you specifically how to determine from 6 equilateral triangles.
check it out
2007-12-05 02:11:14 · answer #4 · answered by Jim L 3 · 0⤊ 0⤋
24m
2007-12-05 02:03:56 · answer #5 · answered by Anonymous · 0⤊ 2⤋