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A farmer has 540 m of fencing to enclose a
rectangular area and divide it into two sections as
shown.
a) Write an equation to express the total area
enclosed as a function of the width.
b) Determine the domain and range of this area
function.
c) Determine the dimensions that give the
maximum area.

A farmer has 540 m of fencing to enclose a rectangular area and divide it into two sections as shown a Write an equation to express the total area enclosed as a class=

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raphealnwobi

The dimensions that give the maximum area is 135 m by 135 m for a rectangular area with 540 m of fencing

What is an area?

An area is the amount of space occupied by a two dimensional shape or object.

Let w represent the width and l represent the length, hence:

540 = 2(l + w)

l = w - 270

The area (A) is:

A = length * width

A = w(w - 270) = w² - 270w

The domain of the function is (270, ∞), the range is (0, ∞).

The maximum area is at dA/dw = 0, hence:

2w - 270 = 0

w = 135 m, l = 270 - w = 135 m

The dimensions that give the maximum area is 135 m by 135 m

Find out more on area at: https://brainly.com/question/25292087

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