The dimension of the rectangular pen that maximizes the area is 61,250ft.
What is a dimension?
Something's size, including its breadth, height, and depth: She took exact measurements of the room's dimensions in one direction, like the distance from the ceiling to the floor. The room was surprisingly small, in terms of length, width, and height.
Here, we have
L+2W = 700
Area = A= LW = (700-2W)W = 700W -2W²
Take the derivative, set it equal to zero, and solve for W
-4W + 700 = 0
W = 175 feet
L = 700-2(175) = 350 feet
350 by 175 ft maximizes area = 61,250 square feet
Hence, the dimension of the rectangular pen that maximizes the area is 61,250ft.
To learn more about the dimensions from the given link
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