He method of Lagrange multipliers is a general method for solving optimization problems with constraints. The steps are generally to write out the Lagrange equations, solve the Lagrange multiplier λ in terms of x and y, solve for x and y using the constraint equation, and then calculate the critical values. The constraint curve is g(x, y) = 0. Thus, g(x, y) = x2 + y2 + .

The numbers on a football field indicate 10 yard increments. you walk around the perimeter of a football field between the pylons. you walk a distance of 30623 yards. find the area and perimeter of the indicated regions. write your answers as mixed numbers, if necessary. a. one end zone: perimeter: yd area: yd2 b. the playing field (not including end zones): perimeter: yd area: yd2 c. the playing field (including end zones): perimeter: yd area: yd2