document.write( "Question 349989: A landscaper, who just completed a rectangular flower garden measuring 6 feet by 10 feet, orders 1 cubic yard of premixed cement, all of which is to be 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? \n" ); document.write( "
Algebra.Com's Answer #250148 by mananth(16946)![]() ![]() You can put this solution on YOUR website! garden = 6ft by 10ft. Area of garden = 60 sq. ft. \n" ); document.write( "1 cu. yard = 3*3*3 = 27 cu.ft \n" ); document.write( ".. \n" ); document.write( "The volume of concrete border = 27cu.ft. \n" ); document.write( "the thickness = 3 inches. = 3/12 ft = 1/4 ft. \n" ); document.write( "... \n" ); document.write( "volume of concrete = L*W*H \n" ); document.write( "L*W= volume / height \n" ); document.write( "volume = 27cu.ft \n" ); document.write( "height or thickness = 3in. \n" ); document.write( "Area of the border = 27/(1/4 ) \n" ); document.write( "L*W= 27*4/1 = 108 sq. inches. \n" ); document.write( ".. \n" ); document.write( "area of garden + area of border = 60+108 = 168 sq.ft \n" ); document.write( "let width of border be x feet. increase in length & width =2x \n" ); document.write( "(6+2x)(10+2x)= 168 sq. ft \n" ); document.write( "60+12x+20x+4x^2=168 \n" ); document.write( "4x^2+32x+60-168 =0 \n" ); document.write( "4x^2+32x-108=0 \n" ); document.write( "/4 \n" ); document.write( "x^2+8x-27 =0 \n" ); document.write( "solve by quadratic formula you get x = 2.56 feet. \n" ); document.write( "The width will be 2.56 feet\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |