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melisa1 [442]
3 years ago
12

A farmer has 1000 feet of fencing and wants to enclose a rectangular yard, and divide it into four pens as shown.

Mathematics
1 answer:
marusya05 [52]3 years ago
8 0

9514 1404 393

Answer:

  A(x) = -2/5x^2 +200x

Step-by-step explanation:

There are 5 lengths of fence that are y long, and 2 lengths of fence that are x long. So, the perimeter is ...

  5y +2x = 1000

Then the value of y is ...

  y = (1000 -2x)/5

The area is the product of x and y:

  A(x) = xy

  A(x) = x(1000 -2x)/5

  A(x) = (2/5)(x)(500-x) . . . a convenient form for finding the maximum area

In standard form, the equation is ...

  A(x) = -2/5x^2 +200x

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The circumference of a circle is defined as the linear distance around it.

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