document.write( "Question 1149873: A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is
\n" ); document.write( "16
\n" ); document.write( "16 feet more than the length of the shortest side. Find the dimensions if the perimeter is
\n" ); document.write( "172
\n" ); document.write( "172 feet.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #771202 by ikleyn(52786) $\"\"$ $\"About$

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

\r\n" );
document.write( "\r\n" );
document.write( "x + 2x + (x+16) = 172\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "4x = 172 - 16 = 156\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    x = 156/4 = 39 feet is the length of the shortest side.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence, according to the condition, the sides of the triangle shoud be 39, 2*39 = 78 and (39+16) = 55 feet long.    ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Since the triangle inequalities are satisfied, such a triangle really does exist.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It completes the solution.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );