Question 1172917
draw this.
The length is x
the width is y
The area of the whole rectangle is xy. The perimeter is 2x+2y=300 or x+y=150, so y=150-x
the area of each of the rectangles is x(1/4)y, and this is x(37.5)-x^2.
This quadratic is maximized when x=-b/2a=-37.5/-2 or x=18.75 feet.
That means that 4 of them are 75 feet and the area of the whole rectangle is 75 ft*75 ft=5625 ft^2.  It is a square.