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)

Responses

3
3

4
4

6
6

9

1 answer

To find the width of Nya's rectangular garden, we can use the formula for the perimeter of a rectangle, which is given by:

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

In this case, the perimeter \( P \) is 24 feet, and the length is 3 feet. We can plug in the values:

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

Now, divide both sides by 2:

\[ 12 = 3 + width \]

Next, subtract 3 from both sides to solve for the width:

\[ width = 12 - 3 = 9 \]

Thus, the width needs to be 9 feet for the garden to work with 24 feet of fencing.

The correct response is 9.