document.write( "Question 813791: A rectangle has a length that is 2 less than 3 times the width, if the area of this rectangle is 16, Find the dimensions and the perimeter
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Algebra.Com's Answer #489954 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! L = 3w - 2 \n" ); document.write( "a = Lw = 16 \n" ); document.write( "--- \n" ); document.write( "Lw = 16 \n" ); document.write( "(3w - 2)w = 16 \n" ); document.write( "3ww - 2w = 16 \n" ); document.write( "3ww - 2w - 16 = 0 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=3, b=-2, and c=-16 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, plug this: \n" ); document.write( "3 -2 -16 \n" ); document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "the quadratic equation has two real roots: \n" ); document.write( "root 1: 2.66666667 = 2 + 2/3 = 8/3 \n" ); document.write( "root 2: -2 \n" ); document.write( "--- \n" ); document.write( "Answer 1: \n" ); document.write( "the negative root doesn't make sense for a length, so use the positive root: \n" ); document.write( "w = 8/3 \n" ); document.write( "L = 3w - 2 \n" ); document.write( "L = 3(8/3) - 2 \n" ); document.write( "L = 8 - 2 \n" ); document.write( "L = 6 \n" ); document.write( "--- \n" ); document.write( "Answer 2: \n" ); document.write( "p = 2L + 2w \n" ); document.write( "p = 2(6) + 2(8/3) \n" ); document.write( "p = 12 + (16/3) \n" ); document.write( "p = (36/3) + (16/3) \n" ); document.write( "p = 52/3 \n" ); document.write( "p = 17.333333 = 17 + 1/3 \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( "Convert fractions, decimals, and percents: \n" ); document.write( "https://sooeet.com/math/fraction-decimal-percent.php \n" ); document.write( "--- \n" ); document.write( "Calculate and graph the linear regression of any data set: \n" ); document.write( "https://sooeet.com/math/linear-regression.php \n" ); document.write( " |