document.write( "Question 353352: A garden measuring 12 meters by 16 meters is to have a pedestrian pathway installed all around it, increasing the total area to 285 square meters. What will be the width of the pathway? \n" ); document.write( "
Algebra.Com's Answer #252486 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! (16+2x)(12+2x)=285 \n" ); document.write( "192+24x+32x+4x^2=285 \n" ); document.write( "4x^2+56x+192-285=0 \n" ); document.write( "4x^2+56x-93=0 \n" ); document.write( "(2x-3)(2x+31)=0 \n" ); document.write( "2x=3 \n" ); document.write( "x=3/1 \n" ); document.write( "x=1.5 ans. for the width of the pathway. \n" ); document.write( "Proof: \n" ); document.write( "(16+2*1.5)(12+2*1.5)=285 \n" ); document.write( "(16+3)(12+3)=285 \n" ); document.write( "19*15=285 \n" ); document.write( "285=285 \n" ); document.write( " \n" ); document.write( " |