document.write( "Question 168375: Please help me solve this problem:\r
\n" ); document.write( "\n" ); document.write( " A square picture is mounted in a frame 1 cm wide. The area of the picture is 2/3 of the total area. Find the lenght of a side of the picture. \r
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\n" ); document.write( "\n" ); document.write( "thank you
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Algebra.Com's Answer #124100 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
x^2=2/3(x+2)^2
\n" ); document.write( "x^2=2/3(x^2+4x+4)
\n" ); document.write( "x^2=(2x^2+8x+8)/3
\n" ); document.write( "3x^2=2x^2+8x+8
\n" ); document.write( "3x^2-2x^2-8x-8=0
\n" ); document.write( "x^2-8x-8=0
\n" ); document.write( "using the quadratic eqation\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"we get:
\n" ); document.write( "x=(8+-sqrt[-8^2-4*1*-8])/2*1
\n" ); document.write( "x=(8+-sqrt[64+32]) /2
\n" ); document.write( "x=(8+-sqrt96)/2
\n" ); document.write( "x=(8+-9.7979589)/2
\n" ); document.write( "x=(8+9.7979589)/2
\n" ); document.write( "x=17.7979589/2
\n" ); document.write( "x=8.898979 ans. for the length of the side of the picture.
\n" ); document.write( "Proof:
\n" ); document.write( "8.898979^2=2/3(10.898979)^2
\n" ); document.write( "79.19182=2/3*118.78774
\n" ); document.write( "79.19182=79.19182
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