document.write( "Question 1144202: 1.the area of a triangle garden is 24ft^2. The base is trice the height. Find the base and the height of the triangle.
\n" ); document.write( "2.The height of a triangle is 2inch less than 3times the base. If the area is 48inch^2. Find the base and height of the triangle. \n" ); document.write( "

Algebra.Com's Answer #765235 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I will solve #1 only.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "Let x be the height, in feet.\r\n" );
document.write( "\r\n" );
document.write( "Then the base is 3x ft, according to the condition.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The area is  \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     area =  = 24 square feet,   or\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     3x^2 = 2*24 = 48,\r\n" );
document.write( "\r\n" );
document.write( "      x^2        = 48/3 = 16\r\n" );
document.write( "\r\n" );
document.write( "      x =  = 4.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The height is 4 ft;  the base is 3*4 = 12 ft.\r\n" );
document.write( "

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

\n" );