document.write( "Question 823794: [ The area of a rectangle is 440 square centimeters; The perimeter is 84 centimeters. Find the length and width. ] \n" ); document.write( "
Algebra.Com's Answer #495790 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! --- \n" ); document.write( "a = xy = 440 \n" ); document.write( "p = 2x + 2y = 84 \n" ); document.write( "--- \n" ); document.write( "2y = 84 - 2x \n" ); document.write( "y = (84 - 2x)/2 \n" ); document.write( "--- \n" ); document.write( "xy = 440 \n" ); document.write( "x(84 - 2x)/2 = 440 \n" ); document.write( "x(42 - x) = 440 \n" ); document.write( "42x - xx = 440 \n" ); document.write( "-xx + 42x - 440 = 0 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=-1, b=42, and c=-440 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this: \n" ); document.write( "-1 42 -440 \n" ); document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "this quadratic has two real roots (the x-intercepts), which are: \n" ); document.write( "x = 20 \n" ); document.write( "x = 22 \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "length = 22 cm \n" ); document.write( "width = 20 cm \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( " |