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

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

GPT-4o mini · Answer

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

$P = 2 \times (l e n g t h + w i d t h)$

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:

$24 = 2 \times (3 + w i d t h)$

First, divide both sides by 2:

$12 = 3 + w i d t h$

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

$w i d t h = 12 - 3$ $w i d t h = 9$

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