document.write( "Question 294591: a rectangle has a diagonal that measures 10 centimeter and a length that is 2 centimeter longer thatn the width. What is the width of the rectangle in cenitmeter?\r
\n" ); document.write( "\n" ); document.write( "A 5
\n" ); document.write( "B 6
\n" ); document.write( "C 8
\n" ); document.write( "D 12
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Algebra.Com's Answer #212396 by Earlsdon(6294)\"\" \"About 
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Use the Pythagorean theorem: \"c%5E2+=+a%5E2%2Bb%5E2\" where c = 10, a = L, and b = W
\n" ); document.write( "\"10%5E2+=+L%5E2%2BW%5E2\" Substitute \"L+=+W%2B2\"
\n" ); document.write( "\"100+=+%28W%2B2%29%5E2%2BW%5E2\"
\n" ); document.write( "\"100+=+%28W%5E2%2B4W%2B4%29%2BW%5E2\" Rearrange into a standard form for quadratice equations.
\n" ); document.write( "\"2W%5E2%2B4W-96+=+0\" Factor 2.
\n" ); document.write( "\"2%28W%5E2%2B2W-48%29+=+0\" so...
\n" ); document.write( "\"W%5E2%2B2W-48+=+0\" Solve by factoring.
\n" ); document.write( "\"%28W-6%29%28W%2B8%29+=+0\" Apply the \"zero product\" rule.
\n" ); document.write( "\"W-6+=+0\" or \"W+%2B8+=+0\" which means that...
\n" ); document.write( "\"W+=+6\" or \"W+=+-8\" Discard the negative solution.
\n" ); document.write( "\"W+=+6\" This is the width of the rectangle.\r
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