Math
posted by Sarah .
A piece of paper is cut into 25 equal parts that are similar in shape to the original. what is the perimeter of one of the small pieces divided by the perimeter of the original piece of paper?

let's assume the paper is rectangular of length x and width y
Dividing the length by 5 and the width by 5 will give us our 25 similar pieces
original perimeter = 2x + 2y = 2(x+y)
perimeter of one small piece = 2(x/5) + 2(y/5)
= (2/5)(x+y)
so perimeter of a small piece / perimeter of original
= (2/5)(x+y)/(x+y)
= 2/5