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# In a 7 inch square painted red, another square painted white

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In a 7 inch square painted red, another square painted white [#permalink]  16 Jun 2012, 14:56
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Question Stats:

17% (02:24) correct 82% (01:57) wrong based on 1 sessions
In a 7 inch square painted red, another square painted white is inscribed. What fraction of the larger square with shaded red is visible?

A. 3/12
B. 24/49
C. 1/2
D. 25/49
E. 7/12
[Reveal] Spoiler: OA
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Re: In a 7 inch square painted red, another square painted white [#permalink]  16 Jun 2012, 20:09
kashishh wrote:
In a 7 inch square painted red, another square painted white is inscribed. What fraction of the larger square with shaded red is visible?

A. 3/12
B. 24/49
C. 1/2
D. 25/49
E. 7/12

Some info is missing?

Regards,
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Re: In a 7 inch square painted red, another square painted white [#permalink]  17 Jun 2012, 07:17
Forgive my terrible MS Paint skills:

If the red square has dimensions of 7", then each side of the white square is of sqrt(3.5^2 + 3.5^2). Just chop off the sqrt to get the area of the white square, which is fairly easily calculated at 24.5. Area of the red square, meanwhile, is 49 square inches.

Fraction of the red square which is visible is 1/2, and so the answer is C.

Edit: Assumption's made that the square is inscribed as shown. It could be inscribed in such a way that it has a different (larger) area.
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Last edited by MrFong on 17 Jun 2012, 07:50, edited 1 time in total.
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Re: In a 7 inch square painted red, another square painted white [#permalink]  17 Jun 2012, 07:28
kashishh wrote:
In a 7 inch square painted red, another square painted white is inscribed. What fraction of the larger square with shaded red is visible?

A. 3/12
B. 24/49
C. 1/2
D. 25/49
E. 7/12

Some info is missing?

Regards,

No, only i cudn't insert the pic. which Mr. Frong has done.
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Re: In a 7 inch square painted red, another square painted white [#permalink]  17 Jun 2012, 07:45
kashishh wrote:
kashishh wrote:
In a 7 inch square painted red, another square painted white is inscribed. What fraction of the larger square with shaded red is visible?

A. 3/12
B. 24/49
C. 1/2
D. 25/49
E. 7/12

Some info is missing?

Regards,

No, only i cudn't insert the pic. which Mr. Frong has done.

I had to make the assumption that you wanted a smaller square with its corners at the midpoints of the sides of the larger square. I don't think this is doable without that assumption.
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Re: In a 7 inch square painted red, another square painted white   [#permalink] 17 Jun 2012, 07:45
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