document.write( "Question 825485: A farmer wants to enlarge an existing rectangular pigpen such that the total area of the new pen is twice as large as the original pen. The current pen's dimensions are 20' x 27' . The farmer wants to add 14 feet more to the long side than to the short side. Find the dimensions of the new pen. \r
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document.write( "Can't figure out how to solve this :( Please help! \n" );
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Algebra.Com's Answer #497332 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! --- \n" ); document.write( "a = 20*27 \n" ); document.write( "a = 540 sq.ft \n" ); document.write( "--- \n" ); document.write( "A = 2a \n" ); document.write( "A = 1080 sq.ft \n" ); document.write( "--- \n" ); document.write( "x = new length \n" ); document.write( "y = new width \n" ); document.write( "--- \n" ); document.write( "1080 = xy \n" ); document.write( "x = y + 14 \n" ); document.write( "--- \n" ); document.write( "1080 = xy \n" ); document.write( "1080 = (y + 14)y \n" ); document.write( "1080 = yy + 14y \n" ); document.write( "yy + 14y - 1080 = 0 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=1, b=14, and c=-1080 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this: \n" ); document.write( "1 14 -1080 \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( "y = 26.6005952 \n" ); document.write( "y = -40.6005952 \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( "answer: \n" ); document.write( "y = new width = 26.6005952 ft \n" ); document.write( "x = new length = 40.6005952 ft \n" ); document.write( "--- \n" ); document.write( "check: \n" ); document.write( "A = xy \n" ); document.write( "A = 1080 \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 4-equations 4-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( " |