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 3 square root of three.

Question

ajprincess · Answer

where is the figure?

anonymous · Answer

attachment

campbell_st · Answer

the area is double the area of the 6 triangles.. 

area of 1 triangle 

$$A = \frac{1}{2}\times6\times4$$

A = 12 units ^2

6 triangles is 72 cm^2

the hexagon A = ap/2     a = apothem, p = perimeter 

A = 36*4/2 = 73 cm^2

Area of the shape is 144 cm^2

campbell_st · Answer

oops hexagon area = 72 cm^2

ajprincess · Answer

it has to be 6sqrt3

ajprincess · Answer

Note that the apothem shown is equal to 3 square root of three.

anonymous · Answer

I'm going with Campbell's answer but thanks for helping Aj :)

ajprincess · Answer

hmm k. np. bt the answer is nt 6sqrt3.

campbell_st · Answer

I agree with you aj... but the question says the apothem is 4.... which should correctly be 3rt3

I think its a convenience thing... in the question