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The shaded region is rectangular
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27 Jul 2021, 05:44
27 Jul 2021, 05:44
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GRE shaded region.jpg [ 43.82 KiB | Viewed 3284 times ]
The shaded region is rectangular
Quantity A |
Quantity B |
The perimeter of the shaded region |
\(XZ+YZ\) |
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.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: The shaded region is rectangular
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27 Jul 2021, 20:51
27 Jul 2021, 20:51
Carcass wrote:
Attachment:
The attachment GRE shaded region.jpg is no longer available
The shaded region is rectangular
Quantity A |
Quantity B |
The perimeter of the shaded region |
\(XZ+YZ\) |
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.
XYZ is an Isosceles Right Triangle with XZ = ZY
and DZEF is a Rectangle with DZ = EF = L (say) and EZ = DF = B (say)
In triangle XDF;
FD = XD = B
XF = \(\sqrt{2}\)B
In triangle YEF;
YE = EF = L
YF = \(\sqrt{2}\)L
Col. A: DZ + ZE + EF + FD
Col. B: XZ + YZ
Col. A: L + B + L + B
Col. B: (B + L) + (L + B)
Col. A: 2(L + B)
Col. B: 2(L + B)
Hence, option C
Attachments
The shaded region is rectangular.png [ 6.81 KiB | Viewed 3045 times ]
gmatclubot
Re: The shaded region is rectangular [#permalink]
27 Jul 2021, 20:51
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