Question

All of the triangles in the figure below are congruent. What is the area of the figure? Note that all measurements are in centimeters. Note that the apothem shown is equal to 2 square root of three.

Answer 1

the area of each triangle = 1/2 *3 * 4 = 6
so 6 triagnle = 36 sq cms

the area of the haxagon = 1/2 * a * p

a = apothem = 2sqrt3 and p = perimeter = 6* 4

i'll have to check on this last formula - my memory might be failing me here

Answer 2

yes thats correct

Answer 3

Explain how the formula for the area of a triangle is derived from that of a rectangle.