document.write( "Question 33064: 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?\r
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Algebra.Com's Answer #19498 by Paul(988)![]() ![]() ![]() You can put this solution on YOUR website! Let the width be x \n" ); document.write( "Since 2 width on each side we represent this as: \n" ); document.write( "30-2x and 40-2x \n" ); document.write( "(30-2x)(40-2x)=1800 \n" ); document.write( "1200+2x^2+10x=1800 \n" ); document.write( "2x^2+10x-600=0 \n" ); document.write( "x^2+5x-300=0 \n" ); document.write( "Factor: \n" ); document.write( "(x+20) and (x-15) \n" ); document.write( "x=15 \n" ); document.write( "Hence, the uniform width around the garden is 15cm each. \n" ); document.write( "Paul. \n" ); document.write( " |