document.write( "Question 23506: Hi, I am having a REALLY hard time with word problems right now. Could someone PLEASE help me with this problem? Help would be greatly appreciated, thanks! Here is the problem: A Garden plot 4 m by 12 m has one side along a fence as shown at the right. The area of the garden is to be doubled by digging a border of uniform width on the other three sides. What should the width of the border be?\r
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document.write( "Please HELP me??? Thank you so much! \n" );
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Algebra.Com's Answer #12389 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Draw the picture of the original garden with \n" ); document.write( "width = 4 and length = 12 \n" ); document.write( "Draw a uniform border around three sides having \n" ); document.write( "a uniform width of \"x\". \n" ); document.write( "The new width is now 4+x; the new length is now 12 + 2x \n" ); document.write( "The new area is (4+x)(12+2x) = 96 \n" ); document.write( " 48+20x+2x^2 = 96 \n" ); document.write( " 2x^2+20x-48=0 \n" ); document.write( " x^2+10x-24=0 \n" ); document.write( " (x+12)(x-2)=0 \n" ); document.write( "Therefore x=2 meters is the uniform width of the border.\r \n" ); document.write( "\n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |