Parallelogram PARL is similar to parallelogram WXYZ. If AP = 16, PL = 24, and WZ = 96, find the value of c.

Answer 1

Since parallelogram PARL is similar to parallelogram WXYZ, the corresponding sides are in proportion.

Therefore, the ratio between the sides of PARL and WXYZ is:
AR/WX = AP/WZ = PL/XY = RL/YZ = 16/96 = 1/6

Since WZ = 96 and 96 = 16*6, then AR = AP * 6 = 16 * 6 = 96

Therefore, the value of c is 96.