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In the rectangular coordinate system above, the area of

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by VJesus12 » Sat Jan 05, 2019 6:57 am

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Image

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]

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by Brent@GMATPrepNow » Sat Jan 05, 2019 8:23 am
VJesus12 wrote:Image

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:
Image

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

Answer: A

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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