document.write( "Question 161212: toms uncle owns a triangular piece of land. the perimeter fence that surrounds the land measures 378 yards. the shortest side is 30 yards longer than one-half of the longest side. the second longest side is 2 yards shorter than the longest side. what is the length of each side? \n" ); document.write( "
Algebra.Com's Answer #118753 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! the fence measures 378 yards. the shortest side is 30 yards longer than one-half of the longest side. the second longest side is 2 yards shorter than the longest side. what is the length of each side? \n" ); document.write( ": \n" ); document.write( "Let x = the longest side \n" ); document.write( ": \n" ); document.write( "from the statements, \n" ); document.write( "\"the shortest side is 30 yards longer than one-half of the longest side.\" \n" ); document.write( "we can say: \n" ); document.write( ".5x + 30 = the shortest side \n" ); document.write( "and \n" ); document.write( "\" the second longest side is 2 yards shorter than the longest side.\" \n" ); document.write( "x-2 = 2nd longest side \n" ); document.write( "; \n" ); document.write( "what is the length of each side? \n" ); document.write( ": \n" ); document.write( "Solve for x: \n" ); document.write( "x + (.5x+30) + (x-2) = 378 \n" ); document.write( "x + .5x + x + 30 - 2 = 378 \n" ); document.write( "2.5x + 28 = 378 \n" ); document.write( "2.5x = 378 - 28 \n" ); document.write( "2.5x = 350 \n" ); document.write( "x = \n" ); document.write( "x = 140 yds is the longest side \n" ); document.write( "then \n" ); document.write( ".5(140) + 30 = 100 yd is the shortest side \n" ); document.write( "and \n" ); document.write( "140 - 2 = 138 yds is the 2nd side \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check: 140 + 100 + 138 = 378 \n" ); document.write( " |