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In the figure shown above, line segment BC has length 16 cm, rectangle
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20 Sep 2021, 03:38
20 Sep 2021, 03:38
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Question Stats:
85% (02:21) correct
14% (02:07) wrong based on 28 sessions
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GRE In the figure shown above.jpg [ 14.56 KiB | Viewed 4554 times ]
In the figure shown above, line segment BC has length 16 cm, rectangle FABE is a square, and the area of rectangular region FACD is 612 cm2.
Quantity A |
Quantity B |
Area of FABE |
Area of EBCD |
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.
Source: manhattanreview
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Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
In the figure shown above, line segment BC has length 16 cm, rectangle
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20 Sep 2021, 05:28
20 Sep 2021, 05:28
1
If area of square FABE=\(x^2\), then the area of FACD=\(x^2+16x=612\).
Choose \(x=16\) and plug into the above expression. FACD=\(16^2+16*16=512<612\). Hence, x must be greater than 16.
Quantity A: \(x^2\)
Quantity B: \(16x\)
It's clear that \(x>16\) and Quantity A > Quantity B
Answer is A
In the figure shown above, line segment BC has length 16 cm, rectangle FABE is a square, and the area of rectangular region FACD is 612 cm2.
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.
Source: manhattanreview
Choose \(x=16\) and plug into the above expression. FACD=\(16^2+16*16=512<612\). Hence, x must be greater than 16.
Quantity A: \(x^2\)
Quantity B: \(16x\)
It's clear that \(x>16\) and Quantity A > Quantity B
Answer is A
Carcass wrote:
Attachment:
GRE In the figure shown above.jpg
In the figure shown above, line segment BC has length 16 cm, rectangle FABE is a square, and the area of rectangular region FACD is 612 cm2.
Quantity A |
Quantity B |
Area of FABE |
Area of EBCD |
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.
Source: manhattanreview
Re: In the figure shown above, line segment BC has length 16 cm, rectangle
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09 Jan 2022, 09:44
09 Jan 2022, 09:44
EBCD is not a square, so it should be D
