Nya is building a garden in her yard. She has 24 feet of fencing for her garden and wants it to be in the shape of a rectangle with a length of 3 feet. What does the width need to be for this to work?(1 point)

Question

Responses

6
6

3
3

9
9

4

Answer 1

To determine the width of Nya's garden, we can use the formula for the perimeter of a rectangle:

\[ P = 2 \times (length + width) \]

Given that the perimeter \(P\) is 24 feet and the length is 3 feet, we can substitute these values into the formula:

\[ 24 = 2 \times (3 + width) \]

Now, simplify the equation:

\[ 24 = 6 + 2 \times width \]

Subtract 6 from both sides:

\[ 24 - 6 = 2 \times width \] \[ 18 = 2 \times width \]

Now, divide both sides by 2:

\[ width = \frac{18}{2} = 9 \]

Therefore, the width needs to be 9 feet. The correct answer is:

9