document.write( "Question 834862: The length of the diagonal of a rectangle is square root of 40. If one side is four units longer than the other what are the lengths of both sides? \n" ); document.write( "
Algebra.Com's Answer #503210 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The length of the diagonal of a rectangle is square root of 40. If one side is four units longer than the other what are the lengths of both sides? \n" ); document.write( "---------------------------------- \n" ); document.write( "shorter side:: x \n" ); document.write( "other side:::: x+4 \n" ); document.write( "diagonal:: sqrt(40) \n" ); document.write( "------------------------- \n" ); document.write( "Equation: \n" ); document.write( "x^2 + (x+4)^2 = 40 \n" ); document.write( "--------- \n" ); document.write( "x^2 + x^2+8x = 40-16 \n" ); document.write( "------- \n" ); document.write( "2x^2 + 8x - 24 = 0 \n" ); document.write( "------- \n" ); document.write( "x^2 + 4x - 12 = 0 \n" ); document.write( "Factor: \n" ); document.write( "(x+6)(x-2) = 0 \n" ); document.write( "Positive solution: \n" ); document.write( "shorter side:: x = 2 \n" ); document.write( "other:: x+4 = 6\r \n" ); document.write( "\n" ); document.write( "------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================== \n" ); document.write( " |