Answer:
area = 2,338.2cm^2
Step-by-step explanation:
There is a simple formula for finding the area of a regular hexagon via its side length, but I'm assuming your teacher would like it geometrically considering you asked me to draw it out!
See attached image.
Find the height of the shaded triangle using the Pythagorean theorem:
15^2 + h^2 = 30^3
225 + h^2 = 900
h^2 = 675
h = ~25.98 cm
Find the area of the shaded triangle using 1/2bh:
1/2(15)(25.98) = 194.85
There are 12 such triangles in the hexagon.
12(194.85) = 2,338.2
