document.write( "Question 821654: a rectangle is 3cm longer than it is wide. the diagonal is 15 cm. find the dimensions of the rectangle. use quadratic formula \n" ); document.write( "
Algebra.Com's Answer #494304 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! a rectangle is 3cm longer than it is wide. the diagonal is 15 cm. find the dimensions of the rectangle. use quadratic formula \n" ); document.write( "------------------- \n" ); document.write( "width = x cm \n" ); document.write( "length = x+3 cm \n" ); document.write( "diag = 15 cm \n" ); document.write( "------ \n" ); document.write( "Use Pythgoras: \n" ); document.write( "x^2 + (x+3)^2 = 15^2 \n" ); document.write( "------- \n" ); document.write( "x^2 + x^2 + 6x + 9 = 225 \n" ); document.write( "-------- \n" ); document.write( "2x^2 + 6x - 216 = 0 \n" ); document.write( "x^2 + 3x - 108 = 0 \n" ); document.write( "(x-9)(x+12) = 0 \n" ); document.write( "----- \n" ); document.write( "Positive solution: \n" ); document.write( "x = 9 cm (width) \n" ); document.write( "x+3 = 12 cm (width) \n" ); document.write( "============================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |