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The figure above represents a window, with the shaded region

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by M7MBA » Sun Nov 24, 2019 1:26 pm
Image

The figure above represents a window, with the shaded regions representing the openings for the glass. If all line segments in the figure are either horizontal or vertical and the openings are all the same size, what are the dimensions, in inches, of each opening (1 foot = 12 inches)?

(A) 12.0 by 18.0
(B) 10.5 by 16.5
(C) 9.0 by 15.0
(D) 8.0 by 10.0
(E) 7.5 by 13.5

[spoiler]OA=E[/spoiler]

Source: GMAT Paper Tests
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by Jay@ManhattanReview » Mon Nov 25, 2019 11:43 pm
M7MBA wrote:Image

The figure above represents a window, with the shaded regions representing the openings for the glass. If all line segments in the figure are either horizontal or vertical and the openings are all the same size, what are the dimensions, in inches, of each opening (1 foot = 12 inches)?

(A) 12.0 by 18.0
(B) 10.5 by 16.5
(C) 9.0 by 15.0
(D) 8.0 by 10.0
(E) 7.5 by 13.5

[spoiler]OA=E[/spoiler]

Source: GMAT Paper Tests
Length of each opening = (1/2 of 3 feet - 3*3 in) = 1/2 of (3*12 in - 3 in) = (36 - 9)/2 in = 13.5 in;
Width of each opening = (1/2 of 2 feet - 3*3 in) = 1/2 of (2*12 in - 3 in) = (24 - 9)/2 in = 7.5 in

Thus, the dimensions, in inches, of each opening = 7.5 in by 13.5 in

The correct answer: E

Hope this helps!

-Jay
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by Scott@TargetTestPrep » Mon Dec 02, 2019 5:58 pm
M7MBA wrote:Image

The figure above represents a window, with the shaded regions representing the openings for the glass. If all line segments in the figure are either horizontal or vertical and the openings are all the same size, what are the dimensions, in inches, of each opening (1 foot = 12 inches)?

(A) 12.0 by 18.0
(B) 10.5 by 16.5
(C) 9.0 by 15.0
(D) 8.0 by 10.0
(E) 7.5 by 13.5

[spoiler]OA=E[/spoiler]

Source: GMAT Paper Tests
The width of each opening is (24 - 3 - 3 - 3)/2 = 7.5 inches.

The length of each opening is (36 - 3 - 3 - 3)/2 = 13.5 inches.

Answer: E

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