document.write( "Question 1050788: A rectangular garden of length 28 ft and width 17 ft is surrounded by a path of uniform width. If the area of the walkway is 144 ft2, what is its width?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #666415 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "A rectangular garden of length 28 ft and width 17 ft is surrounded by a path of uniform width.
\n" ); document.write( "If the area of the walkway is 144 ft2, what is its width?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "The larger rectangle has the dimensions (28+2x) and (17+2x), where x is the uniform width of the walkway, in feet.\r\n" );
document.write( "\r\n" );
document.write( "The smaller rectangle (the garden) has the area of 28*17 square feet.\r\n" );
document.write( "\r\n" );
document.write( "You are given the difference\r\n" );
document.write( "\r\n" );
document.write( "(28+2x)*(17+2x) - 28*17 = 144.\r\n" );
document.write( "\r\n" );
document.write( "Simplify this equation \r\n" );
document.write( "\r\n" );
document.write( " - 28*17 = 144,\r\n" );
document.write( "\r\n" );
document.write( " = 144,\r\n" );
document.write( "\r\n" );
document.write( " = .\r\n" );
document.write( "\r\n" );
document.write( "Apply the quadratic formula\r\n" );
document.write( "\r\n" );
document.write( " =  = .\r\n" );
document.write( "\r\n" );
document.write( "Ignore the negative root. Then you have an unique solution  x =  =    ft = 1.5 ft.\r\n" );
document.write( "\r\n" );
document.write( "Answer.  The walkway width is 1.5 ft.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "For more similar solved problems see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Problems on the area and the dimensions of a rectangle surrounded by a strip\r
\n" ); document.write( "\n" ); document.write( "    - Problems on a circular pool and a walkway around it\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the parts of this textbook in the chapter \"Dimensions and the area of rectangles and circles and their elements\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );