# Geometry

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a Farmer want to put up a fence with a total perimeter of 250 ft. It is the shape of a rectangle but there is a river on one side. What is the maximum area of feet that the fence can be?

• Geometry -

What is the max. Area of the three sides

• Pre-Calc -

So if the perimeter is 250 feet, draw a diagram. of three sides of a rectangle with a little river. Then label the two corresponding sides 'x' and the other side without a partner 250-x because the total P is 250 and you already used 'x' twice on the other sides of the fence. Then, because area is A=LW, substitute in the sides: A=(250-2x)x

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