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 #111237 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! area of flower bed is 45 ft^2 (9*5) __ area of center is 21 ft^2 (45-24)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let x=\"width of border\" __ so center length is 9-2x and center width is 5-2x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(9-2x)(5-2x)=21 __ FOILing __ 45-28x+4x^2=21 __ subtracting 21 __ 4x^2-28x+24=0 __ dividing by 4 __ x^2-7x+6=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "factoring __ (x-6)(x-1)=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x-6=0 __ x=6 __ greater than width of entire bed, so not realistic\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x-1=0 __ x=1 \n" ); document.write( " |