document.write( "Question 472854: In a rectangle, the length is three more than one half of the width. If the area is 56, what is the width? \n" ); document.write( "
Algebra.Com's Answer #324213 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! In a rectangle, the length is three more than one half of the width. \n" ); document.write( "L = \n" ); document.write( ": \n" ); document.write( "If the area is 56, what is the width? \n" ); document.write( "L * W = 56 \n" ); document.write( "Replace L with ( \n" ); document.write( "( \n" ); document.write( " \n" ); document.write( "Get rid of the fraction, mult eq by 2 \n" ); document.write( "W^2 + 6W = 112 \n" ); document.write( "A quadratic equation \n" ); document.write( "W^2 + 6W - 112 = 0 \n" ); document.write( "You can find W using the quadratic formula; a=1, b=6, c=-112, but: \n" ); document.write( "this will factor to \n" ); document.write( "(W+14)(W-8) = 0 \n" ); document.write( "the positive solution \n" ); document.write( "W = 8 \n" ); document.write( "then \"the length is three more than one half of the width.\" therefore: \n" ); document.write( "L = \n" ); document.write( "L = 7 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check by finding the area with these values: 7 * 8 = 56 \n" ); document.write( " \n" ); document.write( " |