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# In the figure above, ABCD is a rectangle. If the area of ΔAEB is 8, wh

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Math Expert
Joined: 02 Sep 2009
Posts: 55803
In the figure above, ABCD is a rectangle. If the area of ΔAEB is 8, wh  [#permalink]

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11 Jan 2019, 01:43
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Difficulty:

35% (medium)

Question Stats:

73% (01:55) correct 27% (02:11) wrong based on 28 sessions

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In the figure above, ABCD is a rectangle. If the area of ΔAEB is 8, what is the area of ΔACD?

A. 8
B. 12
C. 16
D. 24
E. 32

Attachment:

2019-01-11_1242.png [ 14.8 KiB | Viewed 314 times ]

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Re: In the figure above, ABCD is a rectangle. If the area of ΔAEB is 8, wh  [#permalink]

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11 Jan 2019, 02:16
1
ACD I'd half of rectangle

While as AEB=ACD
BOTH Eyal to half of rectangle= 16

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Re: In the figure above, ABCD is a rectangle. If the area of ΔAEB is 8, wh  [#permalink]

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11 Jan 2019, 03:55
Bunuel wrote:

In the figure above, ABCD is a rectangle. If the area of ΔAEB is 8, what is the area of ΔACD?

A. 8
B. 12
C. 16
D. 24
E. 32

Attachment:
2019-01-11_1242.png

triangel AEB = 45:45:90
ae=eb= 4 and ab = 4 sqrt 2
triangle adc ac= 8 , dc= 4 swrt 2
area ; 0.5*4 sqrt2*4 sqrt2
16 IMO C
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Re: In the figure above, ABCD is a rectangle. If the area of ΔAEB is 8, wh   [#permalink] 11 Jan 2019, 03:55
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