A rectangle is constructed with its base on thex-axis and two of its vertices on the parabola y=361x^2. What are the dimensions of the rectangle with the maximumarea? What is thatarea?

A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y = 361 - x . What are the dimensions of the rectangle with the maximum area? What is that area? Let A be the area of the rectangle. What is the objective function that relates A and x? A= (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation.) In the rectangle with the maximum area, the shorter dimension is about and the longer dimension is about (Round to two decimal places as needed.) The maximum area of the rectangle is about (Round to two decimal places as needed.)