Final answer:
To find the measure of side y'w' after a scale factor of 66, multiply the original side length (44) by the scale factor: 44 * 66 = 2904. Therefore, side y'w' is 2904 units long.
Step-by-step explanation:
The student asked: 'Triangle wxy is dilated by a scale factor of 66 to form triangle w'x'y'. Side yw measures 44. What is the measure of side y'w'?'
To answer this, we'll multiply the original length of side yw by the scale factor to find the length of side y'w'. The formula for dilation in this case is the original length (44) times the scale factor (66), which equals:
44 * 66 = 2904
Thus, the measure of side y'w' after the dilation is 2904 units.