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

6
6

3
3

9
9

4
4

1 answer

To find the width of the rectangle, we can use the formula for the perimeter of a rectangle:

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

In Nya's case, we know the perimeter (P) is 24 feet and the length is 3 feet. We can substitute these values into the formula:

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

First, divide both sides by 2:

\[ 12 = 3 + width \]

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

\[ width = 12 - 3 \] \[ width = 9 \]

Therefore, the width of the garden needs to be 9 feet.