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In the figure above, squares PQRV and VRST have sides of leng

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In the figure above, squares PQRV and VRST have sides of leng [#permalink] New post 30 Nov 2015, 01:42
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Attachment:
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#GREpracticequestion squares PQRV and VRST.jpg [ 6.72 KiB | Viewed 4495 times ]


In the figure above, squares PQRV and VRST have sides of length 6.

Quantity A
Quantity B
The area of the shaded
region
36


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.




Practice Questions
Question: 2
Page: 146
Difficulty: easy
[Reveal] Spoiler: OA

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Re: In the figure above, squares PQRV and VRST have sides of leng [#permalink] New post 30 Nov 2015, 02:28
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Squares PQRV and VRST have sides of length 6 [#permalink] New post 27 Dec 2016, 02:42
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#GREpracticequestion Squares PQRV and VRST.jpg
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Squares PQRV and VRST have sides of length 6

Quantity A
Quantity B
The area of the shaded region PQS
36


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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Re: PQRV [#permalink] New post 29 Dec 2016, 12:51
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Carcass wrote:
Image

Squares PQRV and VRST have sides of length 6

Quantity A
Quantity B
The area of the shaded region PQS
36




Let's add those lengths to the diagram:
Image

If we focus on the shaded right triangle....
Image
... we see its base has length 12 and its height is 6

Triangle area = (base)(height)/2 = (12)(6)/2 = 36

So, we have:
Quantity A: 36
Quantity B: 36

Answer: C
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Re: Squares PQRV and VRST [#permalink] New post 14 Jan 2020, 06:53
The shaded region is nothing but triangle PQR with
Base QS = QR + RS = 6 + 6 =12
and Height, PQ = 6
Area of Triangle = \(\frac{1}{2} * Base * Height\)
= \(\frac{1}{2} * 12* 6\) = 6*6 = 36
So, Both Quantities are same
So, Answer will be C
Hope it helps!
sandy wrote:
Image

In the figure above, squares PQRV and VRST have sides of length 6.

Quantity A: The area of the shaded region

Quantity B: 36

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

[Reveal] Spoiler: Answer


[Reveal] Spoiler: Image
Attachment:
Quant1.jpg

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Re: Squares PQRV and VRST   [#permalink] 14 Jan 2020, 06:53
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In the figure above, squares PQRV and VRST have sides of leng

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