document.write( "Question 816660: [ A long wire is cut into three smaller pieces in the ratio of 7:3:2. if the shortest piece is 16 cm, what is the area of the rectangle with the largest area that can be created using the longest piece? ] \n" ); document.write( "
Algebra.Com's Answer #491650 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! a = (7/12)L \n" ); document.write( "b = (3/12)L \n" ); document.write( "c = (2/12)L \n" ); document.write( "--- \n" ); document.write( "c = 16 cm \n" ); document.write( "c = (2/12)L \n" ); document.write( "16 = (2/12)L \n" ); document.write( "--- \n" ); document.write( "L = 16(12/2) \n" ); document.write( "L = 96 cm \n" ); document.write( "--- \n" ); document.write( "a = (7/12)L \n" ); document.write( "a = (7/12)96 \n" ); document.write( "a = 56 cm \n" ); document.write( "--- \n" ); document.write( "b = (3/12)L \n" ); document.write( "b = (3/12)96 \n" ); document.write( "b = 24 cm \n" ); document.write( "--- \n" ); document.write( "a is the longest piece at 56 cm \n" ); document.write( "--- \n" ); document.write( "what is the area of the rectangle with the largest area that can be created using the longest piece? \n" ); document.write( "it's actually a square, so: \n" ); document.write( "L = w = (1/4)56 \n" ); document.write( "L = w = 14 \n" ); document.write( "a = Lw = 14^2 \n" ); document.write( "a = 196 sq.cm \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( " |