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Vesna [10]
4 years ago
10

Farmer Ed has 2,500 meters of fencing,

Mathematics
1 answer:
Juliette [100K]4 years ago
4 0

Answer:

Because it is a rectangle, the area is expressed as A = xy, or length times width.

Because it is next to the river, he only needs to fence three sides, so F = x + 2y.

Knowing the amount of fencing available is 7500m, we get:

 

7500 = x + 2y        solve for x

x = 7500 - 2y         substitute into the area equation

A = (7500 - 2y)y     distribute

A = -2y2 +7500y

 

You can see that this is a parabola which opens down, meaning that the point of maximum area will be at the vertex, y = -b/2a = -7500/[2(-2)] = 1875

 

x = 7500 - 2(1875) = 3750

 

A = 3750(1875)  = 7,031,250 m2

Step-by-step explanation:

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