document.write( "Question 343455: Find the dimensions of a rectangle whose perimeter is 26 meters and whose arae is 40 square meters. I know this is very basic, but I have not been in a classroom in over 35 years. Thank you. \n" ); document.write( "
Algebra.Com's Answer #245767 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! P = 2L + 2W ___ 26 = 2L + 2W ___ 13 = L + W\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = L * W ___ 40 = L * W\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you are looking for two numbers whose sum is 13 and whose product is 40 \n" ); document.write( "___ like 8 and 5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "using equations\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "L = 13 - W\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substituting ___ 40 = (13 - W) * W ___ 40 = 13W - W^2 ___ W^2 - 13W + 40 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "factoring ___ (W - 8)(W - 5) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W - 8 = 0 ___ W = 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W - 5 = 0 ___ W = 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "one dimension is 5 and the other is 8 \n" ); document.write( " |