Since all squares are similar, then the ratio of one square’s side to perimeter is proportional to any other’s. If the side of a square of fabric is 2 yards, then the perimeter is 8 yards. Use a proportion to determine the perimeter of a square with a side 9 yards long. Write your final answer in a complete sentence. Please help and explain ur answer CX

The perimeter is 36 yd.

We set up a proportion to represent this situation.  We know that the ratio of the side to the perimeter is the same for every square.  This means that the ratio of the first square, 2/8 is the same for the second one.  We know that the side length is 9, which gives us:

2/8 = 9/x

Cross multiply:
2*x = 8*9
2x = 72

Divide both sides by 2:
2x/2 = 72/2
x = 36