document.write( "Question 109098: sasha works at the botanical gardens and is planning a new rectangular rose garden 20m by 30m. She plans to build a walkway, with a uniform width, all around the garden. Her budget is $6000 and she knows it will cost $10/m2 to construct the hallway. How wide can the walkway be?
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #79559 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A rectangular rose garden 20m by 30m. a walkway, with a uniform width, all around the garden. budget is $6000 and it will cost $10/m2 to construct the walkway. How wide can the walkway be?
\n" ); document.write( ":
\n" ); document.write( "1st find the area of the walkway that will utilize the $6000 budget:
\n" ); document.write( "Area = 6000/10
\n" ); document.write( "A = 600 sq/m will be the area of the walkway
\n" ); document.write( ":
\n" ); document.write( "Let x = the width of the walkway:
\n" ); document.write( ":
\n" ); document.write( "Overall area: (30 + 2x) * (20 + 2x) = (600 + 100x + 4x^2);FOILed
\n" ); document.write( ":
\n" ); document.write( "30 * 20 = 600 sq/m = area of the garden only
\n" ); document.write( ":
\n" ); document.write( "The equation:
\n" ); document.write( "Overall area - garden area = walkway area
\n" ); document.write( "(4x^2 + 100x + 600) - 600 = 600
\n" ); document.write( "4x^2 + 100x - 600 = 0
\n" ); document.write( "Simplify, divide equation by 4
\n" ); document.write( "x^2 + 25x - 150 = 0
\n" ); document.write( "Factors to:
\n" ); document.write( "(x+30)(x-5) = 0
\n" ); document.write( "x = +5 meters is the solution we want here.
\n" ); document.write( ":
\n" ); document.write( ";
\n" ); document.write( "Check solution:
\n" ); document.write( "Overall area - garden area = walkway area
\n" ); document.write( "(40*30) - (30*20) =
\n" ); document.write( "1200 - 600 = 600 \n" ); document.write( "
\n" );