document.write( "Question 931200: A rectangle has a length of 6 cm is greater than its width. Find its width given that it's area is 91 cm^2 \n" ); document.write( "
Algebra.Com's Answer #565518 by ptfile(81) You can put this solution on YOUR website! Let x = The width \n" ); document.write( " x+6 = The length\r \n" ); document.write( "\n" ); document.write( "Formula for area of a rectangle \n" ); document.write( "Area = Length x Width\r \n" ); document.write( "\n" ); document.write( "It's area is 91 cm^2.\r \n" ); document.write( "\n" ); document.write( " (x+6)(x)=91 \n" ); document.write( " x^2+6x=91 \n" ); document.write( " x^2+6x-91=0 \n" ); document.write( "(x+13)(x-7)=0\r \n" ); document.write( "\n" ); document.write( "x=-13 or \n" ); document.write( "x= 7\r \n" ); document.write( "\n" ); document.write( "Substitute x for -13 \n" ); document.write( "(-13+6)(-13)=91 \n" ); document.write( " (-7)(-13)=91 \n" ); document.write( " 91=91 \r \n" ); document.write( "\n" ); document.write( "Substitute x for 7 \n" ); document.write( " (7+6)(7) =91 \n" ); document.write( " (13)(7) =91 \n" ); document.write( " 91 =91\r \n" ); document.write( "\n" ); document.write( "The width can either be -13cm or 7cm. Since the are no negative integers on finding the length, the width should be 7cm.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |