A farmer is constructing three equally-sized pens against the side of a barn for his animals, as shown in the image below. He has 152 feet of fence to construct the pens. No fence is needed along the barn. What is the maximum possible area for one of the pens? You may enter an exact answer or round your answer to the nearest hundredth.

Step 1 ：The farmer is constructing three equally-sized pens against the side of a barn. He has 152 feet of fence to construct the pens. No fence is needed along the barn. We need to find the maximum possible area for one of the pens.

Step 2 ：The total length of the fence is divided into 4 parts (3 parts for the length of each pen and 1 part for the width of the pens). So, each part will be \(\frac{152}{4} = 38\) feet.

Step 3 ：The area of a rectangle is given by the formula length * width. Since the pens are equally sized, the maximum possible area for one of the pens will be \(38 * 38 = 1444\) square feet.

Step 4 ：Final Answer: The maximum possible area for one of the pens is \(\boxed{1444}\) square feet.