Question

This figure shows how to create a six-pointed star from twelve equilateral triangle tiles: (SEE FIGURE ATTACHED) If each of the original tiles has a perimeter of 10 cm, what is the perimeter of the final star in cm?

Answer 1

Answer:

Perimeter of the final star = 40 cm²

Step-by-step Explanation:

The perimeter of the six-pointed star is the sum of the sides of the 6 equilateral triangles that form a boundary around the star.

1 triangular tiles gas a perimeter of 10cm.

Only 2 out of the 3 equal sides of each of the 6 equilateral triangles form the boundary of the final star.

Therefore, perimeter of the final star = ⅔ of the total perimeter of 6 triangular tiles

= ⅔ of (10*6)

= ⅔*60

= 2*20

Perimeter of the final star = 40 cm²