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# M15-14

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Math Expert
Joined: 02 Sep 2009
Posts: 57155

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16 Sep 2014, 00:55
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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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Math Expert
Joined: 02 Sep 2009
Posts: 57155

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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 $$\frac{80}{60} = \frac{4}{3}$$.

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Intern
Joined: 14 Nov 2014
Posts: 5

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12 Dec 2014, 21:36
How did the framed area is considered as 14 by 10
Math Expert
Joined: 02 Sep 2009
Posts: 57155

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13 Dec 2014, 05:56
surenz298 wrote:
How did the framed area is considered as 14 by 10

Check the image below:
Attachment:
Untitled.png
Hope it's clear.
>> !!!

You do not have the required permissions to view the files attached to this post.

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Manager
Joined: 12 Nov 2018
Posts: 107

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

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