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M15-14

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M15-14  [#permalink]

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New post 16 Sep 2014, 00:55
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

80% (01:57) correct 20% (02:24) wrong based on 40 sessions

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The length of a picture is 10 cm and the width of the picture is 6 cm. If the picture is surrounded with a 2 cm thick rectangular frame, what is the ratio of the area of the frame to that of the picture?

A. \(\frac{3}{4}\)
B. \(\frac{5}{6}\)
C. \(\frac{7}{8}\)
D. \(\frac{5}{4}\)
E. \(\frac{4}{3}\)

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Re M15-14  [#permalink]

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New post 16 Sep 2014, 00:55
Official Solution:

The length of a picture is 10 cm and the width of the picture is 6 cm. If the picture is surrounded with a 2 cm thick rectangular frame, what is the ratio of the area of the frame to that of the picture?

A. \(\frac{3}{4}\)
B. \(\frac{5}{6}\)
C. \(\frac{7}{8}\)
D. \(\frac{5}{4}\)
E. \(\frac{4}{3}\)

The area of the picture is 60 (10 by 6). The framed area is 140 (14 by 10). The frame area is then 80. The required ratio is \(\frac{80}{60} = \frac{4}{3}\).

Answer: E
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Re: M15-14  [#permalink]

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New post 12 Dec 2014, 21:36
How did the framed area is considered as 14 by 10
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Re: M15-14  [#permalink]

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New post 13 Dec 2014, 05:56
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Re: M15-14  [#permalink]

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New post 02 Aug 2019, 23:14
why is the frame area not excluding the area of the picture?
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Re: M15-14   [#permalink] 02 Aug 2019, 23:14
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M15-14

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