Manila Bay Fence Activity

This activity shows how the total length of 3 sides of a rectangle identifies its maximum area. You may refer to the applet below to see how the area corresponds to the changes in length and width.

The Manila Bay is open now to the public despite the pandemic. To ensure social distancing and strict monitoring on the tourists, the government is planning to make a fence in Manila Bay in the shape of a rectangle. If a side adjacent to the bay does not need a fence, what should be the dimensions of the rectangular area to ensure the largest possible area, given that the total length of the fence is 120m? (Answer in the format L*W, where L is the length and W is the width).