The area of a rectangular garden is given by the trinomial x squared plus 6 x minus 27. What are the possible dimensions of the rectangle? Use factoring.

Answer 1

To find the possible dimensions of the rectangle, we need to factor the trinomial x^2 + 6x - 27.

Factoring the trinomial, we get:
x^2 + 6x - 27 = (x + 9)(x - 3)

Now, we know that the area of a rectangle is given by length times width. So, the possible dimensions of the rectangle are the factors of the trinomial:

Length: x + 9
Width: x - 3

Therefore, the possible dimensions of the rectangle are (x + 9) and (x - 3).