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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 :-

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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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.


That is, distance = 5 - 1 = 4

Cheers,
Brent
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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 :-

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.


E
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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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