document.write( "Question 174569: This is one is tough!
\n" ); document.write( "A rectangular enclosure is made with 100 ft. of fencing on three sides. The fourth side is the wall of a barn. Find the greatest possible area of such an enclosure. My choices are as follows: A) 400ft^2 B) 625 ft^2 C) 1111.1 ft ^2 D) 2500ft^2.
\n" ); document.write( "

Algebra.Com's Answer #129588 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Edwin's solution:\r
\n" ); document.write( "\n" ); document.write( "A rectangular enclosure is made with 100 ft. of fencing on three sides. The fourth side is the wall of a barn. Find the greatest possible area of such an enclosure. My choices are as follows: A) 400ft^2 B) 625 ft^2 C) 1111.1 ft ^2 D) 2500ft^2.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C5%2C+Area%2C+%22=%22%2C+length%2C+times%2C+width%29\" \r\n" );
document.write( "\r\n" );
document.write( "Let y = the area.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The vertex of the parabola \"matrix%281%2C3%2Cy%2C%22=%22%2Ca%28x-h%29%5E2%2Bk%29\"\r\n" );
document.write( "is \"matrix%281%2C1%2C+%22%28h%2Ck%29%22%29\", so the vertex here is \"matrix%281%2C1%2C+%22%2810%2C1250%29%22%29\",  \r\n" );
document.write( "\r\n" );
document.write( "The graph is \"graph%28200%2C200%2C-10%2C52%2C-200%2C1275%2C-2%28x-10%29%5E2%2B1250%29\"\r\n" );
document.write( "\r\n" );
document.write( "So the maximum area is \"1250ft%5E2\".  That is not one of the\r\n" );
document.write( "choices, so the problem is botched somehow.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );