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# In the figure above, the area of square ABCD is half the area of recta

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
In the figure above, the area of square ABCD is half the area of recta  [#permalink]

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17 Jan 2019, 22:38
00:00

Difficulty:

45% (medium)

Question Stats:

53% (01:21) correct 47% (00:52) wrong based on 21 sessions

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In the figure above, the area of square ABCD is half the area of rectangle AEFC. What is the ratio of AC to BE?

A 1/4
B 1/3
C 1/2
D 1/1
E 2/1

Attachment:

2019-01-18_1036.png [ 4.42 KiB | Viewed 208 times ]

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Re: In the figure above, the area of square ABCD is half the area of recta  [#permalink]

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18 Jan 2019, 03:53
Bunuel wrote:

In the figure above, the area of square ABCD is half the area of rectangle AEFC. What is the ratio of AC to BE?

A 1/4
B 1/3
C 1/2
D 1/1
E 2/1

Attachment:
2019-01-18_1036.png

area of square = 4 ; rectangle = 8
we can say side of square = 2 and rectangle l=4 and breadth = side of square = 2
so the part AC= 2 and BE = AE-AB = 4-2 = 2
so ratio : 2/2 ; 1/1 IMO D
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Re: In the figure above, the area of square ABCD is half the area of recta   [#permalink] 18 Jan 2019, 03:53
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# In the figure above, the area of square ABCD is half the area of recta

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