5. Find the area of the regular hexagon.
In general, if each side is x
then area = 6(1/2)(x)(√3x/2)
=(3/2)√3 x^2
find area of one of the 6 equilateral triangles
the base will be x , and using Pythagoras or basic trig it can be show that the height is √3x/2
To find the area of a regular hexagon, you need to know either the length of its side or the length of its apothem (the distance from the center of the hexagon to the midpoint of any side).
If you know the length of the side (s), you can use the following formula to find the area (A):
A = (3√3 * s^2) / 2
If you know the apothem (a), you can use the following formula to find the area (A):
A = (3 * a^2 * √3) / 2
Simply substitute the given value into the formula and perform the necessary calculations to find the area.