Draw an equilateral triangle. Divide each side in half and join the points to make four small equilateral triangles. Rearrange these four equilateral triangles into a parallelogram. Compare the perimeter of the original triangle with the perimeter of the parallelogram. Explain your results.

Answer 1

let the sides of the original be 2x
then each side of the 4 smaller trianges is x
Perimeter of original is 2x+2x+2x= 6x

Sum of all sides of the parallelogram = 6x

Not much to explain here, after you make the sketch just add up the sides to get the perimeter .

Answer 2

in how many ways can you arrange six things