Rectangle WXYZ is dilated by a scale factor of 33 to form rectangle W'X'Y'Z'. Side Z'W' measures 9999. What is the measure of side ZW?

To find the measure of side ZW, we first need to find the scale factor used in the dilation.

The scale factor is calculated by dividing the length of the corresponding sides of the dilated rectangle by the original rectangle. In this case, we are given that side Z'W' measures 9999, which is the dilated side length, and we are looking for the original side length ZW.

So, the scale factor can be calculated as:

Scale factor = Z'W' / ZW
33 = 9999 / ZW

Now, we can solve for ZW by rearranging the equation:

ZW = 9999 / 33
ZW = 303

Therefore, the measure of side ZW is 303.