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

9
9

6
6

3

To find the width of the garden, we need to divide the total fencing by the perimeter of the rectangle.

The perimeter of a rectangle is given by the formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

In this case, we have a length of 3 feet and a total fencing of 24 feet. We need to find the width, so we can rewrite the formula as:

24 = 2(3) + 2w

Simplifying the equation gives:

24 = 6 + 2w

Subtracting 6 from both sides gives:

18 = 2w

Dividing both sides by 2 gives:

9 = w

Therefore, the width needed for the garden to work is 9 feet.