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erastovalidia [21]
3 years ago
14

David has available 2800 yards of fencing and wishes to enclose a rectangular area. Express the area A of the rectangle as a fun

ction of the width W of the rectangle.
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
6 0

Answer:

The area of the rectangular area is (1400w-w²) square yards.

Step-by-step explanation:

Given that,

David has available 2800 yards of fencing. He wants to enclose a rectangular area.

Assume that, the length and width of the rectangular be l and w  respectively.

The perimeter of the rectangular area is

=2(length+ width)

=2(l+w)

So,

2(l+w)= 2800

\Rightarrow l+w= \frac{2800}{2}

\Rightarrow l+w= 1400

\therefore l= 1400-w

The area of the rectangular area is = length× width

                                                            =l×w

                                                           =(1400-w) w

                                                           =(1400w-w²) square yards.

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