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

4
4

3
3

9
9

6

Answer 1

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

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

Given that the perimeter (P) is 24 feet and the length is 3 feet, we can substitute these values into the formula:

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

Now, we can simplify the equation:

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

2. Now, subtract 3 from both sides: \[ width = 12 - 3 \] \[ width = 9 \]

So, the width of the garden needs to be 9 feet for the fencing to work.

The correct response is 9.