ABCD and EFGH are similar polygons. Their corresponding sides have a ratio of 2:3. If the perimeter of ABCD is 36 inches, what is the perimeter of EFGH?

Question

For this question I got: 54 inches

Would this be correct?

Answer 1

Yes, 54 inches would be correct, because perimeter is made up of lengths and so the ratios of the perimeters is equal to the ratio of the side lengths, and you can set up a proportion to solve (with x = perimeter of EFGH):

2/3=36/x or 3/2=x/36

As long as the same shape is in the numerator for each ratio, you are good to go! The second equation is easier to solve, since the "x" is already in the numerator, so you can multiply both sides by 36 and get 54.