document.write( "Question 1138928: Suzanne has a rectangular garden which is 49 feet long and 41 feet wide. She has 581 square foot of paving stones, and she wants to build a pathway around the border of the garden, like the diagram below:\r
\n" );
document.write( "\n" );
document.write( "How wide will the pathway be?
\n" );
document.write( "(The pathway must be the same width the whole way around the garden)\r
\n" );
document.write( "\n" );
document.write( "x= feet \n" );
document.write( "
Algebra.Com's Answer #756697 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Suzanne has a rectangular garden which is 49 feet long and 41 feet wide. \n" ); document.write( " She has 581 square foot of paving stones, and she wants to build a pathway around the border of the garden. \n" ); document.write( " How wide will the pathway be? \n" ); document.write( "(The pathway must be the same width the whole way around the garden> \n" ); document.write( ": \n" ); document.write( "Find the area of the garden: 49 * 41 = 2009 sq/ft \n" ); document.write( ": \n" ); document.write( "let x = the width of paving stone border \n" ); document.write( "then the overall dimensions, including the border: \n" ); document.write( "(2x+49) by (2x+41) \n" ); document.write( "Overall area - garden area = paving stone area \n" ); document.write( "(2x+49)*(2x+41) - 2009 = 581 \n" ); document.write( "4x^2 + 82x + 98x + 2009 - 2009 - 581 = 0 \n" ); document.write( "4x^2 + 180x - 581 = 0 \n" ); document.write( "Use the quadratic formula; a=4; b=180; c=-581 \n" ); document.write( "I got a reasonable solution of \n" ); document.write( "x = 3.0245 or about 3 ft wide the border \n" ); document.write( " \n" ); document.write( " |