BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

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

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2276
Joined: Sat Oct 14, 2017 6:10 am
Followed by:3 members

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

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

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

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
Top
Source: — Problem Solving |
Legendary Member
Posts: 2499
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members

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.
Top
Post new topic Post Reply
• Page 1 of 1