document.write( "Question 51265: A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft^2. What must be the width of the walkway to the nearest thousandth? \n" ); document.write( "
Algebra.Com's Answer #34239 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft^2. What must be the width of the walkway to the nearest thousandth? \n" ); document.write( "WIDTH OF WALK WAY = X \n" ); document.write( "LENGTH OF GARDEN WITH WALK WAY =40+X+X=40+2X \n" ); document.write( "WIDTH..........................=30+X+X=30+2X \n" ); document.write( "AREA =(2X+40)(2X+30)=1800 \n" ); document.write( "(X+20)(X+15)=450 \n" ); document.write( "X^2+35X+300-450=0 \n" ); document.write( "X^2+35X-150=0 \n" ); document.write( "X={-35+SQRT(35^2+4*150)}/2=3.860 \n" ); document.write( " |