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In square ABCD, E is a point on side CD.
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30 Apr 2023, 23:13
30 Apr 2023, 23:13
1
Expert Reply
00:00
Question Stats:
65% (01:06) correct
34% (01:42) wrong based on 23 sessions
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Attachment:
GRE square shaded region.jpg [ 10 KiB | Viewed 2143 times ]
In square ABCD, E is a point on side CD.
Quantity A |
Quantity B |
Area of the shaded region |
Area of the unshaded region |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: In square ABCD, E is a point on side CD.
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28 May 2023, 01:29
28 May 2023, 01:29
1
Expert Reply
OE
Let us draw a perpendicular from E which intersects AB at F.
GRE square (3).jpg [ 18.61 KiB | Viewed 1946 times ]
Since ABCD is a square, EF divides it into two rectangles BCEF and FEDA.
As we know that a diagonal divides the rectangle into two equal areas.
So, BE being a diagonal of BCEF divides it in two equal regions, say X.
Similarly, AD being a diagonal of FEDA divides it into two equal regions, say Y.
GRe square 2.jpg [ 23.66 KiB | Viewed 1933 times ]
Area of the shaded region X + Y
Area of the unshaded region X + Y
C is the answer
Let us draw a perpendicular from E which intersects AB at F.
Attachment:
GRE square (3).jpg [ 18.61 KiB | Viewed 1946 times ]
Since ABCD is a square, EF divides it into two rectangles BCEF and FEDA.
As we know that a diagonal divides the rectangle into two equal areas.
So, BE being a diagonal of BCEF divides it in two equal regions, say X.
Similarly, AD being a diagonal of FEDA divides it into two equal regions, say Y.
Attachment:
GRe square 2.jpg [ 23.66 KiB | Viewed 1933 times ]
Area of the shaded region X + Y
Area of the unshaded region X + Y
C is the answer
Re: In square ABCD, E is a point on side CD.
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04 Nov 2025, 03:15
04 Nov 2025, 03:15
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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