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

9
9

6
6

3
3

4.

Answer 1

To determine the width of the rectangular garden, we can use the formula for the perimeter of a rectangle. The perimeter (P) of a rectangle is given by the formula:

\[ P = 2(\text{length} + \text{width}) \]

Nya has 24 feet of fencing, so we can set up the equation:

\[ 24 = 2(3 + \text{width}) \]

Now, let's solve for the width:

1. Divide both sides by 2:

\[ 12 = 3 + \text{width} \]

2. Subtract 3 from both sides:

\[ \text{width} = 12 - 3 \]

\[ \text{width} = 9 \]

Therefore, the width needs to be 9 feet.