Question

A breeder of horses wants to fence two adjacent rectangle grazing areas along a river with 600 meters of fence.

- write an expression for the total are of the land in terms of the width of the rectangle ...?

Answer 1

"Adjacent grazing areas" to me means that they share a fence. In other words, it's just one big area with a fence in the middle. I'm going to consider that fence in the middle a width. The amount of fence we would need is the perimeter (2L + 2W) plus the middle fence (so 2L + 3W instead). The area of such an area would be L times W
2L + 3w = 600A = LW2L = 600 - 3WL = 300 - (3/2)W
A=(300-1.5W)W=W(300-1.5W)