Triangle TUV is dilated by a scale factor of 44 to form triangle T'U'V'. Side V'T' measures 3636. What is the measure of side VT?

If triangle TUV is dilated by a scale factor of 4 to form triangle T'U'V', then the ratio of corresponding sides is 4:1.

Since V'T' measures 3636, then VT must measure 4 times that, so VT = 4 * 36 = 144.

Therefore, the measure of side VT is 144.