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# A 10-inch by 15-inch rectangular picture is displayed in a 16-inch by

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Joined: 02 Sep 2009
Posts: 59587
A 10-inch by 15-inch rectangular picture is displayed in a 16-inch by  [#permalink]

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17 Sep 2018, 01:45
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Question Stats:

100% (00:55) correct 0% (00:00) wrong based on 22 sessions

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A 10-inch by 15-inch rectangular picture is displayed in a 16-inch by 24-inch rectangular frame. What is the area, in inches, of the part of the frame not covered by the picture?

(A) 150
(B) 234
(C) 244
(D) 264
(E) 384

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Re: A 10-inch by 15-inch rectangular picture is displayed in a 16-inch by  [#permalink]

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17 Sep 2018, 08:20
Bunuel wrote:
A 10-inch by 15-inch rectangular picture is displayed in a 16-inch by 24-inch rectangular frame. What is the area, in inches, of the part of the frame not covered by the picture?

(A) 150
(B) 234
(C) 244
(D) 264
(E) 384

$$16*24- 15*10$$ $$= 384-150= 234$$ Ans B
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Re: A 10-inch by 15-inch rectangular picture is displayed in a 16-inch by  [#permalink]

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17 Sep 2018, 09:27
Top Contributor
Bunuel wrote:
A 10-inch by 15-inch rectangular picture is displayed in a 16-inch by 24-inch rectangular frame. What is the area, in inches, of the part of the frame not covered by the picture?

(A) 150
(B) 234
(C) 244
(D) 264
(E) 384

Area of rectangle = (base)(height)
So, area of frame = (16)(24) = 384
And area of picture = (10)(15) = 150

(area of picture) + (area not covered by picture) = area of frame
We get: (150) + (area not covered by picture) = 384
So (area not covered by picture) = 234

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Re: A 10-inch by 15-inch rectangular picture is displayed in a 16-inch by   [#permalink] 17 Sep 2018, 09:27
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