The dimensions of the swimming pool and the gym are proportional.

The pool is 75 feet long by 60 feet wide.

What is a set of possible dimensions for the gym?

The dimensions of the gym floor could be 150 feet by 120 feetThe dimensions of the gym floor could be 225 feet by 180 feet

Solution:

Given that,

The dimensions of the swimming pool and the gym are proportional

The pool is 75 feet long by 60 feet wide

To find: set of possible dimensions for the gym

To determine the possible dimensions for the gym, you would use the same number to multiply both 75 and 60

One set of dimensions are:

75 x 2 = 150

60 x 2 = 120

The dimensions of the gym floor could be 150 feet by 120 feet

Other set of dimensions:

75 x 3 = 225

60 x 3 = 180

The dimensions of the gym floor could be 225 feet by 180 feet