From the given coordinates we can see that we have two right triangles with the following measurements:


From here we can find the hypotenuse (which we'll call h) of each triangle in one of two ways:
1) Apply the Pythagorean Theorem to write: 3² + 4² = h² (when we solve this equation, we get h = 5)
2) Recognize that 3 and 4 are part of the 3-4-5 Pythagorean triplet, which means the missing side has length 5

So we now have the following:


We get:
Quantity A: The perimeter of triangle \(PQR\) = 3 + 5 + 5 + 3 = 16
Quantity B: 18

Answer: B

Cheers,
Brent
_________________