Math Question
![Karen has 440 meters of fencing and wishes to enclose a rectangular field.
Suppose that a side length (in meters) of the field is \( x \), as shown below.
(a) Find a function that gives the area \( A(x) \) of the field (in square meters) in terms of \( x \).
\[
A(x)=\prod
\]
(b) What side length \( x \) gives the maximum area that the field can have?
Side length \( x: \square \) meters
(c) What is the maximum area that the field can have?
Maximum area: \( \square \) square meters](https://d3hlidq5bf9vg0.cloudfront.net/app-server-student/2022/3/26/7fd1e814-29be-4339-aad4-12244f3d81e5.png "Karen has 440 meters of fencing and wishes to enclose a rectangular field.
Suppose that a side length (in meters) of the field is \( x \), as shown below.
(a) Find a function that gives the area \( A(x) \) of the field (in square meters) in terms of \( x \).
\[
A(x)=\prod
\]
(b) What side length \( x \) gives the maximum area that the field can have?
Side length \( x: \square \) meters
(c) What is the maximum area that the field can have?
Maximum area: \( \square \) square meters")
Solution
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