document.write( "Question 881994: A garden 7 m by 12 m will be expanded by planting a border of flowers. The border will be of the same width around the entire garden and has an area of 92 m2. \r
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document.write( "im very confused on this problem. it also needs to be identified if its quadratic equation or not. please do tell if it is. \n" );
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Algebra.Com's Answer #532669 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! A1 = area of garden including the border (w) = (7+w)*(12+w) \n" ); document.write( "A2 = area of garden = 7 * 12 = 84 \n" ); document.write( "Area of border = (7+w)*(12+w) - 84 = 92 \n" ); document.write( "(7+w)*(12+w) = 176 \n" ); document.write( "w^2 + 19w + 84 = 176 \n" ); document.write( "this is a quadratic equation \n" ); document.write( "w^2 + 19w -92 = 0 \n" ); document.write( "factor this equation \n" ); document.write( "(w-4) * (w+23) = 0 \n" ); document.write( "w is 4 or -23 \n" ); document.write( "our answer has to be w > 0, so w = 4 m \n" ); document.write( " \n" ); document.write( " |