Question

(07.03 MC)

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?

(3x + 4) feet
(3x − 4) feet
(4x − 3) feet
(4x + 3) feet

Answer 1

(3x - 4) feet

Explanation:

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.

Answer 2

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

Given that the area of the garden is 9x^2 - 24x + 16 square feet, we can factorize it into a perfect square trinomial:

(3x - 4)(3x - 4) square feet

Taking the square root of this expression, we get:

√[(3x - 4)(3x - 4)] feet

Since the square root of a product is equal to the product of the square roots, we have:

(√(3x - 4))^2 feet

Simplifying this expression, we get:

(3x - 4) feet

Therefore, the length of one side of the garden is (3x - 4) feet.

Explanation:

Hope this helps!! <3