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In the rectangular coordinate system above, for which of the shaded regions is the area \(2?\)

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by VJesus12 » Thu Mar 18, 2021 1:05 pm

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Answers

A

B

C

D

E

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Difficulty—

Untitled.png
In the rectangular coordinate system above, for which of the shaded regions is the area \(2?\)

A. None
B. \(Q\) only
C. \(Q\) and \(R\)
D. \(P, Q\) and \(R\) only
E. \(P, Q, R\) and \(S\)

Answer: D

Source: GMAT Prep
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Re: In the rectangular coordinate system above, for which of the shaded regions is the area \(2?\)

by swerve » Thu Mar 18, 2021 4:21 pm
VJesus12 wrote: ↑
Thu Mar 18, 2021 1:05 pm
 Untitled.png

In the rectangular coordinate system above, for which of the shaded regions is the area \(2?\)

A. None
B. \(Q\) only
C. \(Q\) and \(R\)
D. \(P, Q\) and \(R\) only
E. \(P, Q, R\) and \(S\)

Answer: D

Source: GMAT Prep
Let's use the logic,

First, we have that the area of \(P\) is given by
\(P=\dfrac{1}{2}\cdot b \cdot h = \dfrac{1}{2} \cdot 4 \cdot 1=2\)

Next, we see the options and we can quickly eliminate A, B, and C since they don't contain \(P.\)

Now, we calculate the area of \(S=\dfrac{1}{2} \cdot 3\cdot 1 =\dfrac{3}{2} \neq 2\), hence eliminates option E.

So, D is the correct answer.
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