question_answer

Direction: Study the following information carefully and answer the questions given below:

Point P is 4m to the south of Point Q.

Point R is 12m to the west of Point P.

Point S is 2m to the north of Point R.

Point T is 12m to the east of Point S.

Point U is 4m to the south of Point T.

What is the shortest distance between S and Q?

A) \[\sqrt{74}m\]

B) \[2\sqrt{37}m\]

C) \[\sqrt{37}m\]

D) \[\sqrt{150}m\]

E) \[\sqrt{35}m\]

Correct Answer: B

Solution :

\[SQ=\sqrt{S{{T}^{2}}+Q{{T}^{2}}}\] \[=\sqrt{{{(12)}^{2}}+{{(2)}^{2}}}=2\sqrt{37}m\]