Triangle OPQ is dilated by a scale factor of one quarter 1/4 to form triangle O'P'Q'. Side PQ measures 40. What is the measure of side P'Q'?

The measure of side P'Q' can be found by multiplying the measure of side PQ by the scale factor:

P'Q' = PQ * scale factor
P'Q' = 40 * 1/4
P'Q' = 10

Therefore, the measure of side P'Q' is 10.