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Building a fence farmer wants to fence in an area of 13.5 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle If a total of 6000m of fencing is used, what is the maximum area that can be fenced? How can he do this so as to minimize the cost of the fence
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Draw a picture and label your variables A rectangular pasture is to be fenced then divided in half by a fence parallel to 2 opposite sides 2 create x y y y
The amount of fence that a rancher will need to use to build a rectangular fence with an additional length of fence dividing it in half is minimized using derivatives.
A farmer wants to fence an area of 1.5 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides How can he do this so as to minimize the cost of the fence? To minimize the cost of fencing a rectangular area of 24 million square feet, the farmer should use dimensions of 4000 feet for the width and 6000 feet for the length This configuration uses the fence most efficiently while maintaining the required area.
We just minimize the fencing and forget about the cost A farmer wants to fence an area of 1.5 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle In an a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle A farmer wants to fence an area of 1.5 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle.
To help the farmer minimize the cost of fencing for an area of 1.5 million square feet while also dividing it in half with a fence, we can apply some basic geometry and calculus concepts.
