document.write( "Question 527746: Hey I was having trouble with this word problem please help.( The width of a rectangle is 6 kilometers less than twice it's length. If the area is 108 square kilometers, find the dimensions of the rectangle. )How would I set this problem up? \n" ); document.write( "
Algebra.Com's Answer #349016 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! let length = x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"The width of a rectangle is 6 kilometers less than twice it's length\" ___ w = 2x - 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "area = length * width = x * (2x - 6) = 2x^2 - 6x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"If the area is 108 square kilometers\" ___ 108 = 2x^2 - 6x ___ 0 = x^2 - 3x - 54\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "factoring ___ 0 = (x - 9)(x + 6)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so, x = 9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "looks like the question switched length an width \n" ); document.write( " |