In the rectangular coordinate system above, the area of

[VJesus12]

In the rectangular coordinate system above, the area of triangular region PQR is

(A) 12.5
(B) 14
(C) 10√2
(D) 16
(E) 25

[spoiler]OA=A[/spoiler]

Source: GMAT Prep

[Brent@GMATPrepNow]

In the rectangular coordinate system above, the area of triangular region PQR is

(A) 12.5
(B) 14
(C) 10√2
(D) 16
(E) 25

Let's draw a rectangle around the triangle (as shown below) and then subtract from the rectangle's area (28) the areas of the 3 right triangles that surround the triangle in question.

We get the following:


So, the area of PQR = 28 - (3.5 + 6 + 6) = 12.5

Answer: A

Cheers,
Brent