document.write( "Question 817647: If a rectangle has an area of 100 square inches and a perimeter of 50 inches, what are its dimensions? \n" ); document.write( "
Algebra.Com's Answer #492159 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! Lw = 100 \n" ); document.write( "L = 100/w \n" ); document.write( "2L + 2w = 50 \n" ); document.write( "--- \n" ); document.write( "2L + 2w = 50 \n" ); document.write( "2(100/w) + 2w = 50 \n" ); document.write( "200/w + 2w = 50 \n" ); document.write( "200w/w + 2ww = 50w \n" ); document.write( "2w^2 - 50w + 200 = 0 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=2, b=-50, and c=200 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, plug this: \n" ); document.write( "2 -50 200 \n" ); document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "the roots of the quadratic are: \n" ); document.write( "w = 5 \n" ); document.write( "w = 20 \n" ); document.write( "--- \n" ); document.write( "both roots will solve the problem, but traditionally width < length, so choose w = 5. \n" ); document.write( "--- \n" ); document.write( "Answer: \n" ); document.write( "w = 5 in \n" ); document.write( "L = 20 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( "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( " |