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guajiro [1.7K]
3 years ago
8

WILL MARK BRAINLIEST + 50 POINTS

Mathematics
1 answer:
iren [92.7K]3 years ago
8 0

Answer:

The dimensions are 25 * 50 feet.

Step-by-step explanation:

The 3 sides of the pen will measure (2x + y)  feet where x is the width and y is the length.

2x + y = 100

y = 100 - 2x

The area A  = xy =  x(100 - 2x) ft^2.

Finding the maximum area.

A = x(100 - 2x)

A = 100x - 2x^2     Finding the derivative:

A' = 100 - 4x

For maximum value of A this equals zero:

100 - 4x = 0

4x = 100

x = 25 ft,  so this is the width.

The length is  100  - 2(25) =  50 ft.

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