Question 1083475
A star shape is made from 6 congruent equilateral triangles and a regular hexagon. The star shape has an area of 96cm^2. What is the area of the regular hexagon?
<pre>Number of equilateral triangles contained in the star: 12
Area of each equilateral triangle: {{{matrix(1,5, 96/12, "=", 8, sq, cm)}}}
Number of equilateral triangles contained in HEXAGON (6-sided polygon): 6
Area of the 6 equilateral triangles making up the hexagon: {{{highlight_green(matrix(1,5, 8(6), "=", 48, sq, cm))}}}