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Rectangular region QRST is divided into four smaller rectangular regi
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27 Aug 2021, 10:13
27 Aug 2021, 10:13
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Expert Reply
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Question Stats:
43% (01:16) correct
56% (01:57) wrong based on 23 sessions
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GRE Rectangular region QRST is divided into four.jpg [ 10.94 KiB | Viewed 2008 times ]
Rectangular region QRST is divided into four smaller rectangular regions, each with length l and width w.
Quantity A |
Quantity B |
\(\frac{QR}{RS}\) |
\(\frac{3}{4}\) |
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.
Rectangular region QRST is divided into four smaller rectangular regi
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30 Aug 2021, 04:11
30 Aug 2021, 04:11
2
Expert Reply
From the given figure
\(QR = 3w\) as the three rectangles are stacked on top of each other and the widths are added.
Also
\(ST = l =3w\)
Then
\(RS = l + w = 3w +w =4w\)
Then Qty A is:
\(\frac{QR }{ SR} = \frac{3w }{ 4w} = \frac{3}{4}\)
Hence the two quantities are equal and the answer is Option C
\(QR = 3w\) as the three rectangles are stacked on top of each other and the widths are added.
Also
\(ST = l =3w\)
Then
\(RS = l + w = 3w +w =4w\)
Then Qty A is:
\(\frac{QR }{ SR} = \frac{3w }{ 4w} = \frac{3}{4}\)
Hence the two quantities are equal and the answer is Option C
General Discussion
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Rectangular region QRST is divided into four smaller rectangular regi
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02 Sep 2021, 06:39
02 Sep 2021, 06:39
1
Carcass wrote:
Attachment:
GRE Rectangular region QRST is divided into four.jpg
Rectangular region QRST is divided into four smaller rectangular regions, each with length l and width w.
Quantity A |
Quantity B |
\(\frac{QR}{RS}\) |
\(\frac{3}{4}\) |
Let x = the width of each rectangle:
x + x + x = 3x.
So, RQ = 3x and ST = 3x
Now that we know each rectangle has the dimensions x by 3x, the diagram looks like this:
So we get...
QUANTITY A: \(\frac{QR}{RS}=\frac{3x}{3x + x}=\frac{3x}{4x}=\frac{3}{4}\)
QUANTITY B: \(\frac{3}{4}\)
Answer: C
