document.write( "Question 782694: if the length and width of 4 x 2 inc rectangle are each increased by the same amount. The area of the new rectangle will be twice the old. What are the dimensions to two decimal palaces of the new rectangle? \n" ); document.write( "
Algebra.Com's Answer #476490 by stanbon(75887)\"\" \"About 
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if the length and width of 4 x 2 inc rectangle are each increased by the same amount. The area of the new rectangle will be twice the old. What are the dimensions to two decimal places of the new rectangle?
\n" ); document.write( "--------
\n" ); document.write( "New dimensions:
\n" ); document.write( "length = 4+x
\n" ); document.write( "width = 2+x
\n" ); document.write( "-----
\n" ); document.write( "New Area:
\n" ); document.write( "(4+x)(2+x) = x^2+6x+8
\n" ); document.write( "--------
\n" ); document.write( "Equation::
\n" ); document.write( "new area = 2*old area
\n" ); document.write( "x^2+6x+8 = 2(4*2)
\n" ); document.write( "x^2 + 6x -8 =0
\n" ); document.write( "------
\n" ); document.write( "x = [-6 +-sqrt(36-4*-8)]/2
\n" ); document.write( "x = [-6 +- sqrt(68)]/2
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = -3 + (1/2)sqrt(68) = 5.25
\n" ); document.write( "-----
\n" ); document.write( "New Dimensions:
\n" ); document.write( "length: 4 + x = 9.25
\n" ); document.write( "width:: 2 + x = 7.25
\n" ); document.write( "==========================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "========= \n" ); document.write( "
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