A campground owner plans to enclose a rectangular field adjacent to a river. The owner wants the field to contain 125,000 square meters. No fencing is required along the river.A field, a river, and a fence are shown in the image.The river runs along the entire top edge of the field.A region of the field is enclosed by the river and three sections of fence.The fence along the left and right sides of the region are labeled y, the fence along the bottom edge of region is labeled x.As indicated in the figure above, x represents the length in meters of the fence parallel to the river and y represents the length in meters of the fence perpendicular to the river. Let F represent the total amount of fencing needed in meters. Write an equation for F in terms of x only.F(x) = FindF '(x)= F ''(x)= What dimensions (in meters) will use the least amount of fencing?x= y=

Consider a rectangular field adjacent to a river where a campground owner plans to enclose the field…

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A campground owner plans to enclose a rectangular field adjacent to a river. The owner wants the field to contain 125,000 square meters. No fencing is required along the river.

A field, a river, and a fence are shown in the image.

The river runs along the entire top edge of the field.
A region of the field is enclosed by the river and three sections of fence.
The fence along the left and right sides of the region are labeled y, the fence along the bottom edge of region is labeled x.

As indicated in the figure above, x represents the length in meters of the fence parallel to the river and y represents the length in meters of the fence perpendicular to the river. Let F represent the total amount of fencing needed in meters. Write an equation for F in terms of x only.

F(x) =

Find

F '(x)

F ''(x)

What dimensions (in meters) will use the least amount of fencing?

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