Question

In the figure, PQ is parallel to RS. The legth of RP is 4 cm; the length of PT is 16 cm; the length of QT is 20 cm. What is the length of SQ?

Answer 1

4/16 = SQ/20

SQ = (4*20) / 16 = 5 cm

Answer 2

A. 5 cm.

Explanation:

Givens

`PQ \parallel RS`

`RP=4cm`

`PT=16cm`

`QT=20cm`

Now, you can observe that the problem is about propotions, because we have two transversals crossing a pair of parallels. Here we can build the following proportion.

`(SQ)/(RP) =(QT)/(PT)`

Replacing all given values, we have

`(SQ)/(4) =(20)/(16)\\SQ=(20)/(16) * 4\\ SQ=5`

Therefore, the length of SQ is 5 centimeters. The right answer is A.