document.write( "Question 71642: Please help,thank you.\r
\n" ); document.write( "\n" ); document.write( " The length of a rectangle is 1 cm longer than it's width. If the diagonal of the rectangle is 4cm,what are the dimensions(the length and width)of the rectangle?
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Algebra.Com's Answer #51237 by checkley75(3666)\"\" \"About 
You can put this solution on YOUR website!
LENGTH=W+1 & WIDTH=W
\n" ); document.write( "THUS THE DIAGONAL OR HYPOTENUSE (SQUARED 4^2)=L^2+W^2
\n" ); document.write( "L^2+W^2=4^2
\n" ); document.write( "(W+1)^2+W^2=16
\n" ); document.write( "W^2+2W+1+W^2=16
\n" ); document.write( "2W^2+2W+1-16=0
\n" ); document.write( "2W^2+2W-15=0
\n" ); document.write( "USING THE QUADRATIC EQUATION WE GET
\n" ); document.write( "X=(-2+-SQRT[2^2-4*2*-15])/2*2
\n" ); document.write( "X=(-2+-SQRT[4+120])/4
\n" ); document.write( "X=(-2+-SQRT[124])/4
\n" ); document.write( "X=(-2+-11.13)/4
\n" ); document.write( "X=(-2+11.13)/4
\n" ); document.write( "X=9.13/4
\n" ); document.write( "X=2.28 ANSWER
\n" ); document.write( "X=(-2-11.13)/4
\n" ); document.write( "X=-13.13/4
\n" ); document.write( "X=-3.28 ANSWER\r
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