document.write( "Question 570796: a rancher has 180 ft of fencing to enclose two adjacent rectangular corrals. A river forms one side of the corrals. Suppose the width of each corral is x ft. Express the total area of the two corrals as a function of x. Find the domain of the function. \n" ); document.write( "
Algebra.Com's Answer #367862 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! a rancher has 180 ft of fencing to enclose two adjacent rectangular corrals. \n" ); document.write( " A river forms one side of the corrals. Suppose the width of each corral is x ft. \n" ); document.write( "Express the total area of the two corrals as a function of x. Find the domain of the function. \n" ); document.write( ": \n" ); document.write( "That would be 3 widths and 1 length, therefore \n" ); document.write( "L + 3x = 180 \n" ); document.write( "L = (180-3x) \n" ); document.write( ": \n" ); document.write( "A = L * X \n" ); document.write( "replace L with (180-3x) \n" ); document.write( "A = x(180-3x) \n" ); document.write( "A = -3x^2 + 180x; total area as a function of x \n" ); document.write( ": \n" ); document.write( "Graph y - -3x^2+180x \n" ); document.write( " \n" ); document.write( "You can see max area when x=30 ft and domain is 0 to 60 \n" ); document.write( " |