document.write( "Question 80698: Can you please help me solve this equation i have been trying for the past 7 hours and it just dosent make any sense:
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document.write( " A rectangle is initially 6cm wide and 12cm long. If a strip of uniform width is added to the outside of each of the four sides, the resulting area is 160 square cm. Determine the width of the strip? \n" );
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Algebra.Com's Answer #57863 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A rectangle is initially 6cm wide and 12cm long. If a strip of uniform width is added to the outside of each of the four sides, the resulting area is 160 square cm. Determine the width of the strip? \n" ); document.write( "-------- \n" ); document.write( "Draw the picture of the rectangle. \n" ); document.write( "Draw the stip bordering the rectangle but outside it. \n" ); document.write( "--------- \n" ); document.write( "Let the width of the stip be \"x\" cm. \n" ); document.write( "Area of the resulting rectangle including the border is: \n" ); document.write( "(6+2x)(12+2x)= 160 sq cm. \n" ); document.write( "4(3+x)(6+x)=160 \n" ); document.write( "[18+9x+x^2)= 40 \n" ); document.write( "x^2+9x-22=0 \n" ); document.write( "(x+11)(x-2)=0 \n" ); document.write( "Positive answer: x=2 cm \n" ); document.write( "This is the width of the border. \n" ); document.write( "--------- \n" ); document.write( "Checking: (6+2*2)(12+2*2)= 10*16=160 \n" ); document.write( "========== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |