Question

A six pointed regular star consists of two areas. What is the ratio of shaded region to
unshaded region in the area of the star?

Answer 1

Answer:

1:1

Step-by-step explanation:

there are six triangles in a hexagon,and let us tell that the star is a 2 way triangle with 6 sides,so it has 6 triangles also.

so it is like this:

6[number of triangles in a figure]:6[number of triangles in a hexagon].

so ratio is 6:6

when divided by six,it becomes 1:1

that is the answer.

Answer 2

Answer:

The ratio of the shaded region to that of the unshaded region = 1:1

Step-by-step explanation:

If we consider the unshaded region of the star all of them form 6 equilateral triangles. Now if we consider the shaded region which is a regular hexagon that can also be decomposed into six equilateral triangles of the same length. So both have equal areas.