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The figure above represents a frame; the shaded regions represent the

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The figure above represents a frame; the shaded regions represent the  [#permalink]

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New post 29 Nov 2015, 10:40
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71% (00:55) correct 29% (00:49) wrong based on 116 sessions

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The figure above represents a frame; the shaded regions represent the openings in the frame. If all line segments in the figure are either horizontal or vertical and the openings are the same size, what are the dimensions of each opening ?

(A) 4.5 cm by 5 cm
(B) 4.5 cm by 6.5 cm
(C) 5 cm by 5.5 cm
(D) 5 cm by 9 cm
(E) 5 cm by 11 cm

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Re: The figure above represents a frame; the shaded regions represent the  [#permalink]

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New post 29 Nov 2015, 11:15
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Length of the two shaded regions = 14 - (1.5 + 1.5 + 2) = 9
Since the two shaded regions are identical , length of one shaded region = 9/2 = 4.5

Width of the shaded region = 8 - (1.5 + 1.5) = 5

Dimension of each shaded region = 4.5 * 5.

Answer: A
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Re: The figure above represents a frame; the shaded regions represent the  [#permalink]

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New post 07 Mar 2017, 17:20
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Bunuel wrote:
Image
The figure above represents a frame; the shaded regions represent the openings in the frame. If all line segments in the figure are either horizontal or vertical and the openings are the same size, what are the dimensions of each opening ?

(A) 4.5 cm by 5 cm
(B) 4.5 cm by 6.5 cm
(C) 5 cm by 5.5 cm
(D) 5 cm by 9 cm
(E) 5 cm by 11 cm


Let’s start with the width (the vertical measurements). We see that the total width is 8 cm and that total width consists of the shaded region and two pieces of 1.5 cm. Thus, the width of the opening is 8 - 1.5 - 1.5 = 5 cm.

Next, we see that the total length is 14 cm, and that total consists of two shaded regions, one piece of 1.5 cm, another of 2 cm, and a final piece of 1.5 cm.

Thus, the length of the two openings is 14 - 1.5 - 2 - 1.5 = 9 cm. Since this is the length for two openings, the length for one opening is 9/2 = 4.5 cm.

Answer: A
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Re: The figure above represents a frame; the shaded regions represent the &nbs [#permalink] 07 Mar 2017, 17:20
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