document.write( "Question 575105: Jimmy is making a rectangular garden. He wants it to be( x - 11 ) long and (x-1) yards wide. He needs a walkway 3 yards wide around the garden. If the total area of both garden and the walkway is 119 sq yards. solve for x. \n" ); document.write( "
Algebra.Com's Answer #369415 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Jimmy is making a rectangular garden. He wants it to be( x - 11 ) long and (x-1) yards wide. \n" ); document.write( "He needs a walkway 3 yards wide around the garden. \n" ); document.write( " If the total area of both garden and the walkway is 119 sq yards. solve for x. \n" ); document.write( ": \n" ); document.write( "From the information given, we know the overall dimensions will be \n" ); document.write( "Length: x - 11 + 2(3) = (x - 5) \n" ); document.write( "Width: x - 1 + 2(3) = (x + 5) \n" ); document.write( ": \n" ); document.write( "Overall area: \n" ); document.write( "(x-5)*(x+5) = 119 \n" ); document.write( "FOIL \n" ); document.write( "x^2 + 5x - 5x - 25 - 119 = 0 \n" ); document.write( "x^2 - 144 = 0 \n" ); document.write( "Factors to: \n" ); document.write( "(x-12)(x+12) = 0 \n" ); document.write( "positive solution \n" ); document.write( "x = 12 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this by find the area with this solution \n" ); document.write( "12-11+6 = 7 \n" ); document.write( "12-1 + 6 = 17 \n" ); document.write( "7 * 17 = 119 \n" ); document.write( " \n" ); document.write( " |