document.write( "Question 50316This question is from textbook Beginning Algebra
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document.write( ": I am totally lost on this problem, can someone figure it out showing me the steps please?\r
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document.write( "A garden is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft^2, what is the width of the path? \n" );
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Algebra.Com's Answer #33680 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! 20*30=600 is trhe original garden area before the path is made. thus\r \n" ); document.write( "\n" ); document.write( "(20-2x)(30-2x)=400 or 600-60x-40x+4x^2=400 or 4x^2-100x+200=0 or\r \n" ); document.write( "\n" ); document.write( "x^2-25x+50=0 or using the quadratic equation we get x=22.8 & x=2.2 \r \n" ); document.write( "\n" ); document.write( "thus the path is 2.2 ft wide\r \n" ); document.write( "\n" ); document.write( "proof (30-4.4)(20-4.4)=400 or 25.6*15.6=400 or 400=400\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |