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The length of a picture is 10 cm and the width of the

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Director
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The length of a picture is 10 cm and the width of the [#permalink] New post 27 Nov 2007, 19:22
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The length of a picture is 10 cm and the width of the picture is 6 cm. 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) 3/4
(B) 5/6
(C) 7/8
(D) 5/4
(E) 4/3
Senior Manager
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 [#permalink] New post 27 Nov 2007, 19:40
Area of Frame/Area of Picture= 80/60=4/3. E.
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 [#permalink] New post 27 Nov 2007, 19:41
area of frame = (14*10)-(10*6)

square = 10*6

frame/square = 4/3

whats the OA?
Director
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 [#permalink] New post 27 Nov 2007, 19:48
How do you interpret the area of a frame? I thought it was the area surrounding the picture. Hence, area of the frame = total area - area of picture = (10 + 2) * (6 + 2) - (10 * 6)

area of picture = 60

ratio = (96 - 60) / 60???
Senior Manager
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 [#permalink] New post 27 Nov 2007, 19:53
eyunni wrote:
How do you interpret the area of a frame? I thought it was the area surrounding the picture. Hence, area of the frame = total area - area of picture = (10 + 2) * (6 + 2) - (10 * 6)

area of picture = 60

ratio = (96 - 60) / 60???


The area of the frame should be 140-60=80. L(14)xW(10).
Senior Manager
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 [#permalink] New post 27 Nov 2007, 20:07
Answer is 4/3.

eyunni wrote:
How do you interpret the area of a frame? I thought it was the area surrounding the picture. Hence, area of the frame = total area - area of picture = (10 + 2) * (6 + 2) - (10 * 6)

area of picture = 60

ratio = (96 - 60) / 60???


You are missing that the frame is 2cm thick, not just 1, therefore the sizes of the frame are 10, 14
Director
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 [#permalink] New post 27 Nov 2007, 20:11
arghh...thanks. OA is E.
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Re: PS: Area of picture [#permalink] New post 27 Nov 2007, 20:44
eyunni wrote:
The length of a picture is 10 cm and the width of the picture is 6 cm. 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) 3/4
(B) 5/6
(C) 7/8
(D) 5/4
(E) 4/3


10*6=60 Area of pic

(10+4)(10) = 140 Area of total. (frame and pic)

140-60= 80

80/60 --> 4/3

E
Re: PS: Area of picture   [#permalink] 27 Nov 2007, 20:44
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