document.write( "Question 698662: A garden plot 5m by 15m has one of its longest sides next to a wall. The area of the plot is to be doubled by digging up a strip of uniform with along the other three sides. How wide should the border? \n" ); document.write( "
Algebra.Com's Answer #430975 by sofiyac(983)\"\" \"About 
You can put this solution on YOUR website!
A garden plot 5m by 15m has one of its sides next to a wall. The area of the plot is to be doubled by digging up a strip of uniform width along the other three sides. How wide should the border be?
\n" ); document.write( " ---
\n" ); document.write( " Draw the picture of the garden with the wall on one side.
\n" ); document.write( " Area of the garden = 15*5 = 75 m^2
\n" ); document.write( " -----------------------
\n" ); document.write( " Let the uniform width of the stip be \"x\".
\n" ); document.write( " Area of the strip = 15x + x(x+5) + x(x+5) = 2x^2+25x
\n" ); document.write( " ------------------------
\n" ); document.write( " Equation:\r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "strip area = garden area
\n" ); document.write( " 2x^2 + 25x = 75
\n" ); document.write( " 2x^2+25x-75 = 0
\n" ); document.write( " (2x-5)(x+15) = 0
\n" ); document.write( " Positive solution:
\n" ); document.write( "x = 5/2 meters
\n" ); document.write( "
\n" ); document.write( "
\n" );