SOLUTION: how do i solve this question? find the area of a rewular hexagon with the given measurement 48-inch perimeter.

Algebra ->  Algebra  -> Polygons -> SOLUTION: how do i solve this question? find the area of a rewular hexagon with the given measurement 48-inch perimeter.      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 316169: how do i solve this question? find the area of a rewular hexagon with the given measurement 48-inch perimeter.
Answer by Fombitz(13828) About Me  (Show Source):
You can put this solution on YOUR website!
You can break the hexagon into 6 equilateral triangles.
You can then find the height using the side s%2F2, hypotenuse s, and the Pythagorean theorm to get h=sqrt%283%29%2F2.
%28s%2F2%29%5E2%2Bh%5E2=s%5E2
h%5E2=s%5E2-s%5E2%2F4
h%5E2=%283%2F4%29s%5E2
h=%28sqrt%283%29%2F2%29s
Then the area of 6 triangles would be
A=+6%2A%281%2F2%29bh
A+=3hb
A=3%28sqrt%283%29%2F2%29s%2As
A+=%28%283sqrt%283%29%29%2F2%29s%5E2