document.write( "Question 1095641: A vacant city lot is being turned into a neighborhood garden. The neighbors want to fence in a triangular section of the lot and plant flowers there. The longest side of the triangular section is 8 feet shorter than twice the shortest side. The third side is 4 feet longer than the shortest side. The perimeter is 56 feet. How long is each side? \n" ); document.write( "
Algebra.Com's Answer #710133 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let s = the length of the shortest side, side 1 \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "\" The longest side of the triangular section is 8 feet shorter than twice the shortest side.\" \n" ); document.write( "side 2 = 2s - 8 \n" ); document.write( "\" The third side is 4 feet longer than the shortest side.\" \n" ); document.write( "side 3 = s + 4 \n" ); document.write( ": \n" ); document.write( " How long is each side? \n" ); document.write( "the sum of the 3 sides is 56 ft \n" ); document.write( "(2s-8) + (s+4) + s = 56 \n" ); document.write( "combine like terms \n" ); document.write( "4s - 4 = 56 \n" ); document.write( "4s = 56 + 4 \n" ); document.write( "4s = 60 \n" ); document.write( "s = 60/4 \n" ); document.write( "s = 15 ft is the shortest side \n" ); document.write( ": \n" ); document.write( "I'll let you find the other two sides, check that they add up to 56 \n" ); document.write( " |