Square TUVW is dilated by a scale factor of 66 to form square T'U'V'W'. Side U'V' measures 1818. What is the measure of side UV?

If square TUVW is dilated by a scale factor of 6 to form T'U'V'W', then the length of each side in T'U'V'W' will be 6 times the length of the corresponding side in TUVW.

Therefore, if side U'V' measures 18, then the measure of side UV can be found by dividing 1818 by 6:

UV = 1818 / 6
UV = 303

So, the measure of side UV is 303.