Use the Method of Lagrange Multipliers to find the dimensions which allow a farmer to maximize the total area of a rectangular pen constructed alongside a pre-existing wall if he needs it to be sectioned into 3 equal sized areas and he has 600 feet of fencing to use.

An architect builds a model of a park in the shape of a rectangle. the model is 40.64 centimeters long and 66.04 centimeters wide. one inch equals 2.54 centimeters. use the ratio table to find the ratio of the length to the sum of the length and width in inches and in simplest form. length 40.64 width 66.04 a. 8: 21 b. 13: 21 c. 21: 13 d. 21: 8