91. Maximizing an Enclosed Area A farmer with 2000 meters of fencing wants to enclose a rectangular plot that borders a river. If the farmer does not fence the side along the river, what is the largest area that can be enclosed? What are the dimensions of the enclosed area? See the figure. 2000 - 2x
Unitary Method
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Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
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![**Maximizing an Enclosed Area**
A farmer with 2000 meters of fencing wants to enclose a rectangular plot that borders a river. If the farmer does not fence the side along the river, what is the largest area that can be enclosed? What are the dimensions of the enclosed area? See the figure.
**Explanation of the Diagram:**
The diagram illustrates a rectangular plot of land adjacent to a river, with three fenced sides. The side along the river is unfenced. The two shorter sides of the rectangle are labeled as \( x \), and the longer fenced side is labeled as \( 2000 - 2x \). The river runs parallel to the longer side of the rectangle. The goal is to determine the dimensions that maximize the area of this unfenced plot.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faccdc746-d205-41bb-9084-2670548c6f40%2F4bcb1257-d582-4beb-8d66-d41f01e4a9b5%2F7ylcfdr_processed.jpeg&w=3840&q=75)
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