Question

The quadrilateral shown is a rectangle. What is the measure of PR? (round to the nearest hundredth) A) 34.06 B) 37.12 C) 40.24 D) 43. 36

Answer 1

Answer: OPTION B.

Step-by-step explanation:

The missing figure is attached.

For this exercise you need to use the Pythagorean Theorem. This is:

$a^2=b^2+c^2$

Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.

In this case you can identify in the figure the triangle PRS, so the diagonal PR is the hypotenuse of the triangle PRS.

Then you can say that:

$a=PR\\b=PS=17\\c=RS=33$

Therefore, knowing these values, you can substitute them into $a^2=b^2+c^2$:

$PR^2=17^2+33^2$

Finally you must solve for PR in order to find its value. This is:

$PR=\sqrt{17^2+33^2}\\\\PR=37.12$