document.write( "Question 830093: The width of a rectangle is 3 cm less than the length. The area of the rectangle is 54 cm squared. Find the width and length. \n" ); document.write( "
Algebra.Com's Answer #500369 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! --- \n" ); document.write( "y = x - 3 \n" ); document.write( "xy = 54 \n" ); document.write( "--- \n" ); document.write( "xy = 54 \n" ); document.write( "x(x - 3) = 54 \n" ); document.write( "xx - 3x - 54 = 0 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=1, b=-3, and c=-54 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this: \n" ); document.write( "1 -3 -54 \n" ); document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "the quadratic has two real roots at: \n" ); document.write( "--- \n" ); document.write( "x = 9 \n" ); document.write( "x = -6 \n" ); document.write( "--- \n" ); document.write( "the negative root doesn't fit the problem statement, so use the positive root: \n" ); document.write( "--- \n" ); document.write( "x = length = 9 cm \n" ); document.write( "y = width = 6 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( " |