Final answer:
The dimensions of the base are 300 feet by 125 feet. These dimensions are determined by using the relationship between the length and width given in the problem and the perimeter of the base.
Step-by-step explanation:
In this problem, we have to find the dimensions of a base given information about its perimeter and the relationship between its length and width. The formula to calculate the perimeter of a rectangle is 2*(length + width). We're told that the length of the base is 75 feet less than three times the width. This can be represented as 'length = 3*width - 75'. We're told the perimeter is 850 feet. We can represent this as '850 = 2*(length + width)'.
To find the dimensions, we can substitute the formula for length into the formula for the perimeter. 850 = 2*((3*width - 75) + width). Solving for width, we find that the width is around 125 feet. We can then substitute 125 feet back into the formula for length, getting 'length = 3*125 - 75', or about 300 feet. Therefore, the dimensions of the base are 300 feet by 125 feet.
Learn more about Rectangle Perimeter