document.write( "Question 255182: the perimeter of a notebook is 28 inches and the diagonal measures 10 inches. What are the length and width of the notebook?
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #187497 by CharlesG2(834)\"\" \"About 
You can put this solution on YOUR website!
the perimeter of a notebook is 28 inches and the diagonal measures 10 inches. What are the length and width of the notebook?\r
\n" ); document.write( "\n" ); document.write( "perimeter P = 28\r
\n" ); document.write( "\n" ); document.write( "P=2 * (length s + width w) = 28
\n" ); document.write( "P=2(s+w)=28
\n" ); document.write( "s+w=14
\n" ); document.write( "w=14-s\r
\n" ); document.write( "\n" ); document.write( "length s ^2 + width w ^2 = 10^2 =100
\n" ); document.write( "s^2+w^2=100
\n" ); document.write( "s^2+(14-s)^2=100
\n" ); document.write( "s^2+196-28s+s^2=100
\n" ); document.write( "2s^2-28s+196=100
\n" ); document.write( "s^2-14s+98=50
\n" ); document.write( "s^2-14s+48=0
\n" ); document.write( "(s-6)(s-8)=0
\n" ); document.write( "s=6 or s=8
\n" ); document.write( "so
\n" ); document.write( "w=14-s --> w=8 or w=6
\n" ); document.write( "and 36+64=64+36=100\r
\n" ); document.write( "\n" ); document.write( "length and width of the notebook is 6 inches and 8 inches
\n" ); document.write( " \n" ); document.write( "
\n" );