document.write( "Question 548294: a landscaper who just completed a rectangular flower garden measuring 11 ft. in length and 8 ft in width orders one cubic yd of premixed cement all of which is used to create a border of uniform width around the garden if the border is to have a depth of 3 inches, how wide will the border be? (1 cubic yd=27 cubic ft) \n" ); document.write( "
Algebra.Com's Answer #356965 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let x be the width of the sidewalk\r \n" ); document.write( "\n" ); document.write( "length including sidewalk = 11+2x \n" ); document.write( "width+sidewalk=8+2x\r \n" ); document.write( "\n" ); document.write( "Area with sidewalk - area of garden = srea of sidewalk\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Area of sidewalk = (11+2x)(8+2x)-88\r \n" ); document.write( "\n" ); document.write( "Volume of sidewalk =((11+2x)(8+2x)-88)*1/4 = 27\r \n" ); document.write( "\n" ); document.write( "(11+2x)(8+2x)-88= 108\r \n" ); document.write( "\n" ); document.write( "88+22x+16x+4x^2-88=108 \n" ); document.write( "4x^2+38x-108=0 \n" ); document.write( "/2 \n" ); document.write( "2x^2+19x-54=0 \n" ); document.write( "Find the roots of the equation by quadratic formula \n" ); document.write( " \n" ); document.write( "a= 2 ,b= 19 ,c= -54 \n" ); document.write( " \n" ); document.write( "b^2-4ac= 361 + 432 \n" ); document.write( "b^2-4ac= 793 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "x1=( -19 + 28.16 )/ 4 \n" ); document.write( "x1= 2.29 \n" ); document.write( "x2=( -19 -28.16 ) / 4 \n" ); document.write( "x2= -11.79 \n" ); document.write( "Ignore negative value \n" ); document.write( "width = 2.29 feet \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |