Given:
The area of the rectangular garden is 18z+24 sq ft.
To find the possible dimensions of the garden.
Formula
The area of the rectangular garden is
![A = lb](https://img.qammunity.org/2021/formulas/mathematics/high-school/jrhxu5s9d5op7wtydsfeo7jnt1l80op3r9.png)
where,
l be the length of the rectangle
b be the width.
Let us take l and b be the length and width of the given rectangular park respectively.
Now,
According to the problem,
![lb = 18z+24](https://img.qammunity.org/2021/formulas/mathematics/high-school/nla3kx818hhhuhlhakddqyndcl15magj7u.png)
or,
![lb = 6(3z+4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/16jqu7njvlnm0f4ekg00poq8ljyn4htj8o.png)
We can determine that,
l = 6 and b = 3z+4 or vice versa.
Hence,
The possible length and width of the rectangular garden is 6 and (3z+4) respectively.