document.write( "Question 623696: The area of a rectangular plot 24 feet long and 16 feet wide will be doubled by adding an equal distance to each side of the plot. What is the distance added to each side? \n" ); document.write( "
Algebra.Com's Answer #393238 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "The area of a rectangular plot 24 feet long and 16 feet wide will be doubled by adding an equal distance to each side of the plot. What is the distance added to each side?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Area = 24 * 16, or 384 sq ft
\n" ); document.write( "Doubling this area makes it 384 * 2, or 768 sq ft\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let distance added to each side of rectangle be D
\n" ); document.write( "Then: (24 + D)(16 + D) = 768\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"384+%2B+40D+%2B+D%5E2+=+768\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"D%5E2+%2B+40D+-+384+=+0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(D + 48)(D - 8) = 0\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "D, or distance added to each side = - 48 (ignore), or \"highlight_green%288%29\" ft\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "========
\n" ); document.write( "Check
\n" ); document.write( "========\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(24 + 8) * (16 + 8) = 768\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "32 * 24 = 768\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "768 = 768 (TRUE)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
\n" ); document.write( "
\n" );