document.write( "Question 47837: Geometry. The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?\r
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Algebra.Com's Answer #31639 by venugopalramana(3286)\"\" \"About 
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The length of a rectangle is 1 cm longer than its width.
\n" ); document.write( "LET WIDTH =W
\n" ); document.write( "LENGTH=W+1\r
\n" ); document.write( "\n" ); document.write( " If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
\n" ); document.write( "DIAGONAL^2=L^2+W^2
\n" ); document.write( "4^2=(W+1)^2+W^2
\n" ); document.write( "W^2+2W+1+W^2=16
\n" ); document.write( "2W^2+2W-15=0
\n" ); document.write( "\"w+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"w+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A2%2A%28-15%29+%29%29%2F%282%2A2%29+\"
\n" ); document.write( "\"w+=+%28-2+%2B-+sqrt%28+4%2B120+%29%29%2F%284%29+\"
\n" ); document.write( "\"w+=+%28-2+%2B2%2Asqrt%28+31+%29%29%2F%284%29+\"=2.28
\n" ); document.write( "W=2.28 AND L=3.28
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