document.write( "Question 824427: the length of a rectangle is 5 less than the width. the area is 36 square inches. find the length and width.
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Algebra.Com's Answer #496477 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! --- \n" ); document.write( "x = length \n" ); document.write( "y = width \n" ); document.write( "x = y - 5 \n" ); document.write( "xy = 36 \n" ); document.write( "--- \n" ); document.write( "xy = 36 \n" ); document.write( "(y - 5)y = 36 \n" ); document.write( "yy - 5y - 36 = 0 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=1, b=-5, and c=-36 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this: \n" ); document.write( "1 -5 -36 \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( "y = 9 \n" ); document.write( "y = -4 \n" ); document.write( "--- \n" ); document.write( "negative width doesn't make sense for this problem, so use the positive root: \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "x = length = 4 in \n" ); document.write( "y = width = 9 in \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( " |