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?
6
9
4
3
The width needs to be 6 feet for this to work.
To find the width of the garden, we can use the formula for the perimeter of a rectangle: Perimeter = 2 * (Length + Width).
Given that the length is 3 feet and the total fencing is 24 feet, we can set up the equation: 24 = 2 * (3 + Width).
Simplifying the equation gives us: 24 = 6 + 2 * Width.
Subtracting 6 from both sides gives us: 18 = 2 * Width.
Dividing both sides by 2 gives us: Width = 9.
Therefore, the width of the garden needs to be 9 feet.
To find the width of the garden, we need to use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
In this case, we know that the perimeter of the garden is 24 feet. We are given the length as 3 feet.
Let's plug in the values we know into the formula:
24 = 2(3) + 2w
Simplifying further:
24 = 6 + 2w
Subtracting 6 from both sides:
18 = 2w
Now, divide both sides by 2:
9 = w
Therefore, the width of the garden needs to be 9 feet for it to have a length of 3 feet and a perimeter of 24 feet.
So, the correct answer is 9.