document.write( "Question 151319This question is from textbook
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document.write( ": Width of border: rectangular flower bed 9' by 5'. 2 colors in the bed, one in center, one for border of the same width on all sides. If she has enough plants to cover 24 ft^2 for the border, how wide can the border be? \n" );
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Algebra.Com's Answer #111238 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Width of border: rectangular flower bed 9' by 5'. 2 colors in the bed, one in center, one for border of the same width on all sides. If she has enough plants to cover 24 ft^2 for the border, how wide can the border be?\r \n" ); document.write( "\n" ); document.write( "------------------------------------ \n" ); document.write( "Let the width be \"x\": \n" ); document.write( "Area of the border ? \n" ); document.write( "Draw the picture. \n" ); document.write( "Top and bottom areas: (5+2x)x = 5x + 2x^2 \n" ); document.write( "Left and right side areas : 9x \n" ); document.write( "------------------------------------ \n" ); document.write( "Area Equation: \n" ); document.write( "2(2x^2+5x) + 2(9x) = 24 \n" ); document.write( "4x^2 + 28x - 24 = 0 \n" ); document.write( "x^2 + 7x -6 = 0 \n" ); document.write( "(x+6)(x-1) = 0 \n" ); document.write( "Positive solution: \n" ); document.write( "x = 1 ft (the width of the border should be 1 ft) \n" ); document.write( "========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |