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

4
4

3
3

6
6

9
9

1 answer

To find the width of Nya's 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 (l) is 3 feet. We can substitute these values into the formula:

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

Now, let's solve for the width:

  1. Divide both sides by 2: \[ 12 = 3 + width \]

  2. Subtract 3 from both sides: \[ width = 12 - 3 \] \[ width = 9 \]

Therefore, the width needs to be 9 feet for this to work. The answer is:

9