Answer:
![\boxed {\boxed {\sf D. \ 30 \ feet}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/tt2wckz8d7o0aoq3hpjg2jqslb7lcccwne.png)
Explanation:
The area of a square is found by multiplying the base and the height, but since all the sides are equal, it is equal to multiplying a side by another side.
![a=s*s](https://img.qammunity.org/2022/formulas/mathematics/high-school/tn1mjj9a63rs5zdi0vmz1yce4bbm734iy3.png)
![a=s^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/gchakcl4kw8quue1pxoy59zv967zep5u6c.png)
We know the square garden has an area of 900 square feet. We can substitute this value in for a.
![900 \ ft^2=s^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/fv5cx4ad1mi2ehgkf1qb0p7s0m2i13evsr.png)
Since we are solving for the side, we have to isolate the variable s. It is being squared. The inverse of a square is the square root, so we take the square root of both sides.
![\sqrt {900 \ ft^2}= √(s^2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/ctkn1ytn6ftdztvfrpx7pkmilli0m3tmcs.png)
![\sqrt {900 \ ft^2}=s \\](https://img.qammunity.org/2022/formulas/mathematics/high-school/jd9jbgrc04defqdxjisuvuyhh04pm0ztil.png)
![30 \ ft=s](https://img.qammunity.org/2022/formulas/mathematics/high-school/wefbk6fimschj10rv8vg7uxe2f5lrxloj1.png)
One side of the garden is equal to 30 feet and choice D is correct.