document.write( "Question 67506This question is from textbook
\n" ); document.write( ": a landscape architect has included a rectangular flower bed measuring 9ft by 5ft in her plans for a new building. She wants to use two colors of flowers in the bed, one in the center and the other for a border of the same with on all four sides. If she had enough plants to cover 24ft^2 for the border, how wide can the border be? \n" ); document.write( "
Algebra.Com's Answer #48080 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
:
\n" ); document.write( "Cutting through all this nonsense about flowers and architects, the problem appears to be: In a 9' by 5' plot, how wide a border would cover 24 sq ft?
\n" ); document.write( ":
\n" ); document.write( "The total area: 9 * 5 = 45 sq ft: Middle area = 45 - 24 = 21 sq ft
\n" ); document.write( ":
\n" ); document.write( "Let x = width of the border
\n" ); document.write( ":
\n" ); document.write( "Use the area of the middle to find the value of x:
\n" ); document.write( "(9-2x)(5-2x) = 21
\n" ); document.write( ":
\n" ); document.write( "45 - 28x + 4x^2 = 21
\n" ); document.write( ":
\n" ); document.write( "4x^2 - 28x + 45 - 21 = 0
\n" ); document.write( ":
\n" ); document.write( "4x^2 - 28x + 24 = 0
\n" ); document.write( ":
\n" ); document.write( "Simplify, divide equation by 4
\n" ); document.write( "x^2 - 7x + 6 = 0
\n" ); document.write( ":
\n" ); document.write( "Factors to:
\n" ); document.write( "(x-6)(x-1) = 0
\n" ); document.write( ":
\n" ); document.write( "x = 6 and x = 1
\n" ); document.write( ":
\n" ); document.write( "x = 1 ft is the solution that makes sense
\n" ); document.write( ":
\n" ); document.write( "To check our solution; Find the area of the center
\n" ); document.write( "(9-2)*5-2) = 21 sq ft
\n" ); document.write( ":
\n" ); document.write( "Remaining: 45 - 21` = 24 sq ft the area of the border
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