Hello, Seshiru!

2) A gardener has 120 feet of deer-resistant fence.

She wants to enclose a rectangular vegetable garden in her backyard,

and wants the enclosed area to be at least 800 square feet.

What range of values is possible for the length of her garden?

Write your answer in interval notation.

You should be able to visualize the rectangular garden,

. . but here is a diagram anyway.

Let = length of the garden.

The amount of fencing is: . .[1]Code:x *-----------* | | y | | y | | *-----------* x

The area of the garden is: . .[2]

Substitute [1] into [2]: .

The area is to be at least 800 square feet: .

We have: .

This is a parabola: .

When is the graph negative (below thex-axis)?

Answer:itsbetweenx-intercepts.

We have: .

Hence, thex-intercepts are and

The range ofxis: .