Answer: The correct option is (B) [tex](3x-4).[/tex]
Step-by-step explanation: Given that Sam decides to build a square garden whose area is as follows:
[tex]A=9x^2-24x+16~\textup{square feet}.[/tex]
We are to find the length of one side of the garden.
Since the given garden is of a square shape, so the length of each side is same.
That is, the area of the garden must be a perfect square trinomial.
We have
[tex]A\\\\=9x^2-24x+16\\\\=(3x)^2-2\times 3x\times 4+4^2\\\\=(3x-4)^2.[/tex]
Since the area of a square is (length)², so the length of one side of the garden is [tex](3x-4)~\textup{feet}.[/tex]
Thus, (B) is the correct option.
