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If square ABCD has area 25, and the area of the larger shaded square i
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19 Mar 2015, 06:48
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76% (02:18) correct 24% (02:35) wrong based on 175 sessions
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Re: If square ABCD has area 25, and the area of the larger shaded square i
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23 Mar 2015, 05:25




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Re: If square ABCD has area 25, and the area of the larger shaded square i
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19 Mar 2015, 09:03
Let x be the side of the smaller shaded square, and y the side of the larger shaded square
x + y = sqrt (25) x + y = 5
y^2 = 9x^2 y = 3x
x + 3x = 5 x = 5/4



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Re: If square ABCD has area 25, and the area of the larger shaded square i
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19 Mar 2015, 18:37
Hi Bunuel, Should this question include a picture? GMAT assassins aren't born, they're made, Rich
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Re: If square ABCD has area 25, and the area of the larger shaded square i
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20 Mar 2015, 05:37



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Re: If square ABCD has area 25, and the area of the larger shaded square i
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20 Mar 2015, 17:51
The area of larger shaded square = 9*The area of smaller shaded square => The side of larger shaded = 3*The side of larger shaded => The side of smaller shaded square = 1/4 * side of ABCD.
Area of ABCD = 25 => Its side = 5 => The side of smaller shaded square = 1/4*5=5/4



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Re: If square ABCD has area 25, and the area of the larger shaded square i
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20 Mar 2015, 22:02
Area in the ratio => 9:1 Sides then will be in the ratio => 3:1 Diagonals hence will be in the ratio => 3:1 Diagonal of the bigger square is 5 * \sqrt{2} Hence, Diagonal of the shaded smaller square, (side * \sqrt{2}) => 1/4*(5 * \sqrt{2}) Therefore, side of the shaded smaller square => 5/4



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Re: If square ABCD has area 25, and the area of the larger shaded square i
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25 Mar 2015, 03:43
If the area of square ABCD = 25, then each side = 5 Attachment:
4squaresinasquare_text.PNG [ 2.28 KiB  Viewed 4728 times ]
Say side of small square = x Given that \(9x^2 = (5x)^2\) \(8x^2 + 10x  25 = 0\) \(8x^2 + 20x  10x  25 = 0\) 4x(2x + 5)  5(2x+5) = 0 (4x5)(2x+5) = 0 \(x = \frac{5}{4}\) Answer = B
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Re: If square ABCD has area 25, and the area of the larger shaded square i
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25 Jul 2018, 10:26
Bunuel wrote: Attachment: 4squaresinasquare_text.PNG If square ABCD has area 25, and the area of the larger shaded square is 9 times the area of the smaller shaded square, what is the length of one side of the smaller shaded square? Note: Figure not drawn to scale A. 3/4 B. 5/4 C. 6/5 D. 4/3 E. 5/3 Kudos for a correct solution.let a and A be the sides of smaller and larger square. area of smaller square = a^2 of larger square=A^2 ATQ !! A^2=9a^2 A=3a A+a=5 4a=5 a=5/4



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Re: If square ABCD has area 25, and the area of the larger shaded square i
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04 Aug 2018, 22:47
Let the length of the smaller side be x. As per the question, 9*x*x=(5x)*(5x). x comes to 5/4. Option B it is !
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