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

Answer:

A. 5 cm.

Step-by-step 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.

$\frac{SQ}{RP} =\frac{QT}{PT}$

Replacing all given values, we have

$\frac{SQ}{4} =\frac{20}{16}\\SQ=\frac{20}{16} \times 4\\ SQ=5$

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