document.write( "Question 62042: A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft. by 40ft. The total area, garden plus walkway, is to be 1800ft^2.What must be the width of the walkway to the nearest thousandth?
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document.write( "A. 3.860ft
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document.write( "B. 2.610FT
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document.write( "C.5.430FT
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document.write( "D.7.720FT \n" );
document.write( "
Algebra.Com's Answer #42831 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! A rectangular garden is to be surrounded by a walkway of constant width.(X SAY) The garden's dimensions are 30 ft. by 40ft. \n" ); document.write( " The total area, garden plus walkway, is to be 1800ft^2. \n" ); document.write( "L OF GARDEN AND PATH =X+40+X=2X+40 \n" ); document.write( "W OF GARDEN AND PATH = X+30+X=2X+30 \n" ); document.write( "AREA OF GARDEN AND PATH = (2X+40)(2X+30)=1800 \n" ); document.write( "4X^2+140X+1200=1800 \n" ); document.write( "4X^2+140X-600=0 \n" ); document.write( "X^2+35X-150=0 \n" ); document.write( "X = [-35+ OR - SQRT(35^2+4*1*150)]/2 =3.86 \n" ); document.write( "A IS THE ANSWER\r \n" ); document.write( "\n" ); document.write( "What must be the width of the walkway to the nearest thousandth? \n" ); document.write( "A. 3.860ft \n" ); document.write( "B. 2.610FT \n" ); document.write( "C.5.430FT \n" ); document.write( "D.7.720FT \n" ); document.write( " \n" ); document.write( " |