Question

Given figure ABCD ~ figure WXYZ, what is the value of k? m In quadrilateral ABCD, the length of segment CD is two and three-tenths meters and the length of segment BC is four and two-tenths meters. In quadrilateral WXYZ, the length of segment YZ is unknown and represented by variable k, and the length of segment XY is eight and four-tenths meters.

Answer 1

You can use ratio and proportion in this problem.

Segment DC / Segment CB = Segment ZY / Segment YX

2.3m / 4.2m = k / 8.4m

K = 8.4 (2.3 / 4.2)

K = 23/5 or 4.6 m

Answer= 4.6 m