document.write( "Question 1130834: A rectangular orchard contains 864 trees, placed that the number of rows is to the number of trees in a row, as 3 is to 2. Trees are 7 yards apart. Determine amount of land the orchard occupies.\r
\n" ); document.write( "\n" ); document.write( "Not sure how to solve. Non-homework.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #747462 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "The number of rows is 3x and the number of trees in each row is 2x, according to the condition,\r\n" );
document.write( "\r\n" );
document.write( "where x is the common measure (now unknown) of these two numbers.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In addition, we know that the total number of threes in the garden is 864:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    (3x)*(2x) = 864.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It gives you \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     6x^2 = 864\r\n" );
document.write( "\r\n" );
document.write( "     x^2 = 864/6 = 144  ====>  x =  = 12.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Thus the length of each row is 7*(2x) = 7*2*12 = 168 yards.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The other dimension of the garden is  7*(3x) = 7*3*12 = 252 yards.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You may want to add a uniform strip around this rectangle of 7/2 = 3.5 yards wide.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It depends on conditions that are not defined clearly and explicitly in the problem, so I leave it up to you.\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );