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In the rectangular figure above, the area of the shaded region is equa

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In the rectangular figure above, the area of the shaded region is equa  [#permalink]

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New post 17 Aug 2016, 00:13
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In the rectangular figure below, the area of the shaded region is equal to the area of the non-shaded rectangle. If AB = 6, BC = 4, and the longer side of the non-shaded rectangle is an integer, what is one possible measurement for the shorter side of the non-shaded rectangle?

A. 3/4
B. 1
C. 3/2
D. 12/5
E. 16

Attachment:
geo.png
geo.png [ 1.14 KiB | Viewed 2958 times ]
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Joined: 02 Aug 2009
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Re: In the rectangular figure above, the area of the shaded region is equa  [#permalink]

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New post 17 Aug 2016, 03:07
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msk0657 wrote:
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In the rectangular figure below, the area of the shaded region is equal to the area of the non-shaded rectangle. If AB = 6, BC = 4, and the longer side of the non-shaded rectangle is an integer, what is one possible measurement for the shorter side of the non-shaded rectangle?

A. 3/4
B. 1
C. 3/2
D. 12/5
E. 16

Attachment:
geo.png


Total area is 6*4=24, so area of nonshaded will be half of it =24/2=12...
Now the bigger side is an integer and will be 1,2,3,4,or5, as 6 is the length of biggest rectangle..
So smaller can be 12/1..no
12/2.. no
12/3.. again it will be bigger..
12/4=3.. yes
12/5.. yes

So it can be 3 or 12/5..
12/5 is given
Ans D
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Re: In the rectangular figure above, the area of the shaded region is equa  [#permalink]

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New post 20 Oct 2019, 07:24
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Re: In the rectangular figure above, the area of the shaded region is equa   [#permalink] 20 Oct 2019, 07:24
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