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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?

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 class=

Respuesta :

4/16  = SQ/20

SQ = (4*20) / 16  = 5 cm

Answer:

A. 5 cm.

Step-by-step explanation:

Givens

[tex]PQ \parallel RS[/tex]

[tex]RP=4cm[/tex]

[tex]PT=16cm[/tex]

[tex]QT=20cm[/tex]

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.

[tex]\frac{SQ}{RP} =\frac{QT}{PT}[/tex]

Replacing all given values, we have

[tex]\frac{SQ}{4} =\frac{20}{16}\\SQ=\frac{20}{16} \times 4\\ SQ=5[/tex]

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

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