Rancher juan wants to enclose a rectangular area beside a river. there are 240 yards of fencing available. what is the largest total area that can be enclosed?

Perimeter = 2L + 2W → 240 = 2L + 2W → 120 = L + W → 120-L = W
Area = L x W → Area = L(120-L) → Area = 120L - L²
Find the derivative: dA/dL = 120 -2L → 0 = 120 - 2L → L = 60

Area = 120L - L² = 120(60) - (60)² = 7200 - 3600 = 3600

The maximum area is 3600 yds²

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ewomazinoade ewomazinoade · Answer 2 · 2021-12-02T10:59:04+01:00

The largest total area that can be enclosed is 3600 yards².

A rectangle is a 4-sided shape that is made up of a length and width.

Area of a rectangle = length x width

Perimeter of a rectangle = 2(length + width)

240 = 2(l + b)

120 = l + b

The second step is to determine the dimensions of a rectangle that would be equal to 120

pairs of dimensions:

60cm x 60 = 3600

50 x 70 = 3500

40 x 80 = 3200

30 x 90 = 2700

20 x 100 = 1200

1 x 119 = 119

To learn more about the perimeter of a rectangle, please check: brainly.com/question/18793958