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In the coordinate plane above, what is the area of rectangular region

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In the coordinate plane above, what is the area of rectangular region  [#permalink]

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New post 10 Feb 2017, 12:16
1
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A
B
C
D
E

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Question Stats:

90% (00:52) correct 10% (00:50) wrong based on 151 sessions

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In the coordinate plane above, what is the area of rectangular region MNRS ?
(1) M has coordinates (2, 1).
(2) N has coordinates (2, 5).

Figure attached below :-

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Re: In the coordinate plane above, what is the area of rectangular region  [#permalink]

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New post 10 Feb 2017, 12:25
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Top Contributor
anairamitch1804 wrote:
In the coordinate plane above, what is the area of rectangular region MNRS ?
(1) M has coordinates (2, 1).
(2) N has coordinates (2, 5).

Figure attached below :-


IMPORTANT: For geometry Data Sufficiency questions, we are typically checking to see whether the statements "lock" a particular angle, length, or shape into having just one possible measurement. This concept is discussed in much greater detail in the video below.

This technique can save a lot of time.

Target question: What is the area of rectangular region MNRS?

Let's jump straight to . . .

Statements 1 and 2 combined
The COMBINED statements tell us that the rectangle's height = 4

Notice that neither statement locks in the location of points R and S. This means that the rectangle can have ANY width.

As such we cannot determine the area of rectangular region MNRS

Answer: E

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Re: In the coordinate plane above, what is the area of rectangular region  [#permalink]

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New post 10 Feb 2017, 12:37
GMATPrepNow wrote:
anairamitch1804 wrote:
In the coordinate plane above, what is the area of rectangular region MNRS ?
(1) M has coordinates (2, 1).
(2) N has coordinates (2, 5).

Figure attached below :-


IMPORTANT: For geometry Data Sufficiency questions, we are typically checking to see whether the statements "lock" a particular angle, length, or shape into having just one possible measurement. This concept is discussed in much greater detail in the video below.

This technique can save a lot of time.

Target question: What is the area of rectangular region MNRS?

Let's jump straight to . . .

Statements 1 and 2 combined
The COMBINED statements tell us that the rectangle's height = 4

Notice that neither statement locks in the location of points R and S. This means that the rectangle can have ANY width.

As such we cannot determine the area of rectangular region MNRS

Answer: E

RELATED VIDEO FROM OUR COURSE


Hello Brent,

Thanks for your reply, can you please help me understand how you deduced height to be 4 ?
I am still unable to figure out that seems missing something.
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Re: In the coordinate plane above, what is the area of rectangular region  [#permalink]

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New post 10 Feb 2017, 12:47
anairamitch1804 wrote:
GMATPrepNow wrote:
anairamitch1804 wrote:
In the coordinate plane above, what is the area of rectangular region MNRS ?
(1) M has coordinates (2, 1).
(2) N has coordinates (2, 5).

Figure attached below :-


IMPORTANT: For geometry Data Sufficiency questions, we are typically checking to see whether the statements "lock" a particular angle, length, or shape into having just one possible measurement. This concept is discussed in much greater detail in the video below.

This technique can save a lot of time.

Target question: What is the area of rectangular region MNRS?

Let's jump straight to . . .

Statements 1 and 2 combined
The COMBINED statements tell us that the rectangle's height = 4

Notice that neither statement locks in the location of points R and S. This means that the rectangle can have ANY width.

As such we cannot determine the area of rectangular region MNRS

Answer: E

RELATED VIDEO FROM OUR COURSE


Hello Brent,

Thanks for your reply, can you please help me understand how you deduced height to be 4 ?
I am still unable to figure out that seems missing something.



ok, I get it. It's the distance formula.
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Re: In the coordinate plane above, what is the area of rectangular region  [#permalink]

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New post 10 Feb 2017, 13:07
Top Contributor
anairamitch1804 wrote:
Hello Brent,

Thanks for your reply, can you please help me understand how you deduced height to be 4 ?
I am still unable to figure out that seems missing something.


As you note below, one COULD use the distance formula to determine the height.
However, we might also recognize that since the x-coordinate in both given points, (2,5) and (2,1) are the same, the distance between the two points will equal the difference in the y-coordinates.
Image

That is, distance = 5 - 1 = 4

Cheers,
Brent
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Re: In the coordinate plane above, what is the area of rectangular region  [#permalink]

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New post 17 Jun 2017, 09:03
anairamitch1804 wrote:
In the coordinate plane above, what is the area of rectangular region MNRS ?
(1) M has coordinates (2, 1).
(2) N has coordinates (2, 5).

Figure attached below :-


Statement 1

M has coordinates (2,1)

Clearly insufficient-

Statement 2

N has coordinates (2,5)

Clearly insufficient


Statement 1 & 2

These statements on give us the height of the rectangle- no information can be concluded about the length.


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Re: In the coordinate plane above, what is the area of rectangular region  [#permalink]

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New post 15 Jul 2017, 05:40
Good one - 500 level but tests whether we can find the parallel coordinates
Picked C in a hurry but realized it was E
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Re: In the coordinate plane above, what is the area of rectangular region  [#permalink]

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Re: In the coordinate plane above, what is the area of rectangular region   [#permalink] 23 Jul 2019, 07:20
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