document.write( "Question 822548: A computer keyboard is 11 inches longer than it is wide. If the length were doubled and if 2 inches were added to the width the area would increase by 198 sq inches. What are the length and width of the keyboard? \n" ); document.write( "
Algebra.Com's Answer #494932 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! --- \n" ); document.write( "x = y + 11 \n" ); document.write( "2x(y + 2) = xy + 198 \n" ); document.write( "--- \n" ); document.write( "2x(y + 2) = xy + 198 \n" ); document.write( "2xy + 4x = xy + 198 \n" ); document.write( "xy + 4x = 198 \n" ); document.write( "x(y + 4) = 198 \n" ); document.write( "--- \n" ); document.write( "x(y + 4) = 198 \n" ); document.write( "(y + 11)(y + 4) = 198 \n" ); document.write( "yy + 15y + 44 = 198 \n" ); document.write( "yy + 15y - 154 = 0 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=1, b=15, and c=-154 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this: \n" ); document.write( "1 15 -154 \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 = 7 \n" ); document.write( "y = -22 \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( "y = width = 7 inches \n" ); document.write( "x = length = 18 inches \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( " |