document.write( "Question 29274: A real tricky one for me. The question reads...The lengths of the sides of a quadralateral are consecutive even integers. Twice the length of the shortest side plus the length of the longest side is 120 inches. Find the lengths of the four sides. I began with 2x + y =120 and I know that this is only to figure two of the sides. I'm unsure of where to begin from here. thanks for your help. \n" ); document.write( "
Algebra.Com's Answer #16088 by atif.muhammad(135)![]() ![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "shortest side = x, \r\n" ); document.write( "second side = (x+2) \r\n" ); document.write( "third side = (x+4) \r\n" ); document.write( "longest side = (x+6) \r\n" ); document.write( "(They are consecutive even integers)\r\n" ); document.write( "\r\n" ); document.write( "Twice the length of the shortest side + length of the longest side = 120 inch\r\n" ); document.write( " 2x + x+6 = 120\r\n" ); document.write( "\r\n" ); document.write( "Expand the brackets\r\n" ); document.write( "\r\n" ); document.write( "2x + x + 6 = 120\r\n" ); document.write( "\r\n" ); document.write( "3x + 6 = 120\r\n" ); document.write( "\r\n" ); document.write( "3x = 114\r\n" ); document.write( "\r\n" ); document.write( "x = 38 inches\r\n" ); document.write( "\r\n" ); document.write( "Shortest side = 38 inch\r\n" ); document.write( "Second side = 40 inch (x+2)\r\n" ); document.write( "Third side = 42 inch (x+4)\r\n" ); document.write( "Longest side = 44 inch (x+6)\r\n" ); document.write( "\n" ); document.write( " |