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.