Question

How would I solve this 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 3

Answer 1

where's the triangle?

Answer 2

I am guessing you have a regular polygon. Each triangle with have the same base and height. The height is the "apothem" \(2 \sqrt{3} \)

The area of a triangle is A= (1/2) b*h

if you have a polygon with n sides, each base will be 1/n of the total perimeter (did they tell you this or maybe the length of one side b ? )

If you know b and h you can find the area of one triangle. multiply by the number of sides to get the area of the polygon