Sam decides to build a square garden. If the area of the garden is 9x2 − 24x + 16 square feet, what is the length of one side of the garden?

Answer 1

To find the length of one side of the garden, we need to find the square root of the area.

The area of the garden is given by the equation 9x^2 - 24x + 16.

To find the square root of this equation, we can factor it:

9x^2 - 24x + 16 = (3x - 4)(3x - 4)

Taking the square root of both sides, we get:

√(9x^2 - 24x + 16) = √((3x - 4)(3x - 4))

√(9x^2 - 24x + 16) = 3x - 4

So, the length of one side of the garden is 3x - 4 feet.