contestada

Farmer Ed has 5,000 meters of fencing,
and wants to enclose a rectangular plot
that borders on a river. If Farmer Ed does
not fence the side along the river, what is
the largest area that can be enclosed?

Respuesta :

Answer:

A = 3750(1875)  = 7,031,250 m2

Step-by-step explanation:

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

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