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# In the figure above, ABCD is a square with side of length 2. If E is

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Math Expert
Joined: 02 Sep 2009
Posts: 50619
In the figure above, ABCD is a square with side of length 2. If E is  [#permalink]

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11 Nov 2017, 05:52
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Difficulty:

15% (low)

Question Stats:

89% (01:10) correct 11% (03:05) wrong based on 27 sessions

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In the figure above, ABCD is a square with side of length 2. If E is the midpoint of line segment AB and F is the midpoint of line segment AD, then the area of quadrilateral CFAE is

(A) 1
(B) 3/2
(C) 2
(D) 7/2
(E) 4

Attachment:

2017-11-11_1744_001.png [ 6.33 KiB | Viewed 566 times ]

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Re: In the figure above, ABCD is a square with side of length 2. If E is  [#permalink]

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11 Nov 2017, 05:59
option C

from triangle BEC and triangle FDC, FD=BE=1 DC=BC=2.

Hence by deducting these areas from the area of the square we will get the required shaded area.

Area of the two triangles=2*(1/2)*2*1
=2
Area of square= 2*2 = 4

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Re: In the figure above, ABCD is a square with side of length 2. If E is  [#permalink]

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11 Nov 2017, 06:46
Area of the square ABCD is 4

Area of Triangle FDC is $$\frac{1}{2}*1*2$$ = 1

Area of Triangle EBC is $$\frac{1}{2}*1*2$$ = 1

Remaining Area is 4 - 1 - 1 =2

Thus, answer will be (C) 2

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Re: In the figure above, ABCD is a square with side of length 2. If E is &nbs [#permalink] 11 Nov 2017, 06:46
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