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

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by VJesus12 » Fri Dec 17, 2021 10:24 am

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IMAGE PT1.jpg
In the rectangular coordinate system above, the area of triangular region \(PQR\) is

(A) \(12.5\)
(B) \(14\)
(C) \(10\sqrt2\)
(D) \(16\)
(E) \(25\)

Answer: A

Source: GMAT Prep
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Re: In the rectangular coordinate system above, the area of triangular region \(PQR\) is

by Brent@GMATPrepNow » Fri Dec 17, 2021 12:39 pm
VJesus12 wrote: ↑
Fri Dec 17, 2021 10:24 am
 IMAGE PT1.jpg

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

(A) \(12.5\)
(B) \(14\)
(C) \(10\sqrt2\)
(D) \(16\)
(E) \(25\)

Answer: A

Source: GMAT Prep
We're trying to find the area of triangle PQR.
Image


Let's draw a rectangle around the triangle (as shown above) 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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