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A square picture frame has a side of 10*2^(1/2) on its outer edge. The

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A square picture frame has a side of 10*2^(1/2) on its outer edge. The  [#permalink]

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New post 30 Aug 2018, 04:05
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A square picture frame has a side of \(10\sqrt{2}\) on its outer edge. The area of the picture enclosed by the frame is 50% of the entire area. What is the area of the picture?

A. 100
B. 40
C. 50
D. 25
E. 10

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Re: A square picture frame has a side of 10*2^(1/2) on its outer edge. The  [#permalink]

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New post 30 Aug 2018, 04:24
Area of the picture including the outer frame = \((10\sqrt{2})^2\) = 100*2 = 200.

Area of the picture = 50% of entire area = 200/2 = 100.

A is the answer.
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Re: A square picture frame has a side of 10*2^(1/2) on its outer edge. The  [#permalink]

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New post 30 Aug 2018, 05:28
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Bunuel wrote:
A square picture frame has a side of \(10\sqrt{2}\) on its outer edge. The area of the picture enclosed by the frame is 50% of the entire area. What is the area of the picture?

A. 100
B. 40
C. 50
D. 25
E. 10


Given:
Image

Area of square = side²
So, the total area = (10√2)² = (10√2)(10√2) = 200
Image

GIVEN: The area of the picture enclosed by the frame is 50% of the entire area.
So, each region has area 100
Image

Answer: A

Cheers,
Brent
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Re: A square picture frame has a side of 10*2^(1/2) on its outer edge. The  [#permalink]

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New post 04 Sep 2018, 03:40
Bunuel wrote:
A square picture frame has a side of \(10\sqrt{2}\) on its outer edge. The area of the picture enclosed by the frame is 50% of the entire area. What is the area of the picture?

A. 100
B. 40
C. 50
D. 25
E. 10


The combined area of the picture and frame is (10√2)^2 = 200, so the area of the picture itself is 100.

Answer: A
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Re: A square picture frame has a side of 10*2^(1/2) on its outer edge. The &nbs [#permalink] 04 Sep 2018, 03:40
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