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

VJesus12 wrote: ↑

Thu Mar 18, 2021 1:05 pm

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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.