Question

Polygons PQRST and VWXYZ are similar if PQ = 4 feet, QR = 12 feet, RS = 2 feet, ST = 8 feet, TP = 4 feet, and YZ = 16 feet, then what

is the length of XY?

A.16 feet
B.24 feet
C.14 feet
D.4 feet

Answer 1

I would say c 14 ft

Answer 2

D

Explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

`(ST)/(YZ)` =
`(RS)/(XY)` , substitute values

`(8)/(16)` =
`(2)/(XY)` ( cross- multiply )

8XY = 32 ( divide both sides by 8 )

XY = 4 feet → D