document.write( "Question 350986: 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( "
Algebra.Com's Answer #250869 by stanbon(75887)![]() ![]() ![]() 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: \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( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================================= \n" ); document.write( " |