document.write( "Question 170089This question is from textbook
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document.write( ": A small garden measures 8 feet by 10 feet. A uniform border around the garden increases the total area to 143 square feet. What is the width of the border? \n" );
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Algebra.Com's Answer #125547 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! A small garden measures 8 feet by 10 feet. A uniform border around the garden increases the total area to 143 square feet. What is the width of the border? \n" ); document.write( "----------------- \n" ); document.write( "It's exactly 3 feet. 11 x 13 = 143 \n" ); document.write( "-------------- \n" ); document.write( "New area = (8+2x)(10+2x) = 143 \n" ); document.write( "80 + 36x + 4x^2 = 143 \n" ); document.write( "4x^2 + 36x - 63 = 0 \n" ); document.write( "x = [-36 +- sqrt(36^2 - 4*4*-63]/8 \n" ); document.write( "x = [-36 +- sqrt(2304)]/8 \n" ); document.write( "x = [-36 +- 48]/8 \n" ); document.write( "Positive solution: \n" ); document.write( "x = 1.5 ft. (width of the border) \n" ); document.write( "1.5 ft on all sides increases the width and length by 3 feet. \n" ); document.write( "--------------------- \n" ); document.write( "The other solver seems to have read it as \"increases it by 143\", and his solution is correct for that.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |