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

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Retired Moderator
Joined: 26 Nov 2012
Posts: 554
In the rectangular figure above, the area of the shaded region is equa  [#permalink]

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17 Aug 2016, 00:13
00:00

Difficulty:

45% (medium)

Question Stats:

67% (02:29) correct 33% (02:39) wrong based on 60 sessions

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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 [ 1.14 KiB | Viewed 2958 times ]
Math Expert
Joined: 02 Aug 2009
Posts: 8282
Re: In the rectangular figure above, the area of the shaded region is equa  [#permalink]

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17 Aug 2016, 03:07
3
1
msk0657 wrote:

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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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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