Let's first define the variables: x = width 300 - 2x = long The area will be: A = (x) * (300 - 2x) A = 300x - 2x² We look for the maximum area, for this, we derive: A '= 300 - 4x We match zero: 0 = 300 - 4x x = 300/4 = 75 Therefore, the width is: x = 75 feet The length is: 300 - 2x = 300 - 2 (75) = 300-150 150 feet Answer: Part A: The maximum area will be: A = (150) * (75) = 11250 square feet Part B: The dimensions are: Length = 150 feet width = 75 feet