document.write( "Question 634415: The length of a rectangle is 2 in. less than four times the width. If the diagnol is 4 in. more than the length, find the dimensions of the rectangle.\r
\n" ); document.write( "\n" ); document.write( "The width of the rectangle is ?
\n" ); document.write( "The length of the rectangle is ? \n" ); document.write( "
Algebra.Com's Answer #399594 by lwsshak3(11628)\"\" \"About 
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The length of a rectangle is 2 in. less than four times the width. If the diagnol is 4 in. more than the length, find the dimensions of the rectangle.
\n" ); document.write( "The width of the rectangle is ?
\n" ); document.write( "The length of the rectangle is ?
\n" ); document.write( "**
\n" ); document.write( "let w=width
\n" ); document.write( "4w-2=length
\n" ); document.write( "length of diagonal=4w-2+4=4w+2
\n" ); document.write( "by pythagorean theorem:
\n" ); document.write( "diagonal^2=width^2+length^2
\n" ); document.write( "(4w+2)^2=w^2+(4w-2)^2
\n" ); document.write( "16w^2+16w+4=w^2+16w^2-16w+4
\n" ); document.write( "w^2-32w=0
\n" ); document.write( "w(w-32)=0
\n" ); document.write( "w=0 (reject, w>0)
\n" ); document.write( "or
\n" ); document.write( "w=32
\n" ); document.write( "4w-2=128-2=126
\n" ); document.write( "4w+2=128+2=130
\n" ); document.write( "..
\n" ); document.write( "width of the rectangle is=32 in
\n" ); document.write( "length of the rectangle is=126 in
\n" ); document.write( "length of diagonal=130 in
\n" ); document.write( " \n" ); document.write( "
\n" );