Two similar polygons have areas of 50 and 100 sq. in. find the ratio of the length of a pair of corresponding sides.

In the case that you presented, the ratio is

50/100 = (x1)^2 / (x2)^2
1/2 = (x1)^2 / (x2)^2

x1 : x2 = 1 : √2

^2 means squared

Best answer that i found on yahoo ok   set :   x= length of 2nd piece in cm  x- 3= length of 1st piece in cm  x-4= length of 3rd piece in cm  then since you know they all came from the 20 cm ribbon you add them together and set them equal to 20x+ x-3 +x-4 = 20  3x - 7= 20  3x= 27  x= 9  the shortest piece is the third piece which is x- 4  x-4  9-4 = 5  the length of the smallest piece is 5 cm.  the other lengths are  9 cm  6 cm