Question

Find the area of a regular hexagon with a 48-inch perimeter. A = sq. in.

Answer 1

a hexagon as 6 sides
it is a regular hexagon which implies all the sides are the same length

48/6 is the length of one side of the hexagon

the hexagon may be divided into six equilateral triangles
draw a hexagon and divide it into six triangles..

then since you know that the triangles are equilateral triangles and you know the base of the triangle you can solve for the area of the triangle

multiply the area of the triangle by six and you have the area of the hexagon