The rational expression for the ratio between the perimeter and the area is:
R = 4/3x
How to find the ratio?
We want to find the ratio, as a rational expression, between the perimeter and the area.
Remember that for a square of sidelength S, the perimeter is:
P = 4*S
And the area is:
A = S^2
Then the ratio between these two is:
R = P/A = (4*S)/(S^2) = 4/S
In this case, the sidelength is 3x, then S = 3x, replacing that we get:
R = 4/3x
If you want to learn more about rational expressions, you can read:
https://brainly.com/question/1851758
