Rectangular cake pans x and y are similar. the ratio of the width of the pan x to the width of pan y is 3 : 4. the length of pan x is 10 inches, and is 5 inches. what is the perimeter of pan y?

We have two rectangles such as:
Rectangle 1 = X
Rectangle 2 = Y
Where the ratio of the two is:
Ratio = X / Y = 3/4
If x length is 10, we can solve for y length such as:
10 /Y length =3/4
Y length = 40/3 = 13.33

If x width is 5, then we can solve for y width such as:
5/y width = 3/4
y width = 20/3 = 6.67

The Perimeter of Pan Y is shown below:
Y perimeter = 2(6.67) + 2(13.33)
Y perimeter = 40

The answer is 40 inches.