Nya is building a garden in her yard. She has 24 feet of fencing for her garden and wants it to be in a rectangle shape with a length of 3 feet. What does the width need to be for this to work

To find the width of the rectangle, we need to subtract the length from the total fencing and divide the result by 2, since there are two equal sides in a rectangle.

Total fencing - Length = 24 ft - 3 ft = 21 ft

Width = 21 ft / 2 = <<21/2=10.5>>10.5 ft

Therefore, the width needs to be 10.5 feet for the garden to work.

To find the width of the garden, we can use the formula for the perimeter of a rectangle: P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.

Given that the perimeter of the garden is 24 feet and the length is 3 feet, we can substitute these values into the formula and solve for the width:

24 = 2(3) + 2W
24 = 6 + 2W
2W = 24 - 6
2W = 18
W = 18/2
W = 9

Therefore, the width of the garden needs to be 9 feet for the given length of 3 feet.

To find the width of the garden, we can use the fact that the perimeter (the total length of fencing) of a rectangle is given by the formula:

Perimeter = 2 * (Length + Width)

In this case, the perimeter is given as 24 feet and the length is given as 3 feet. We can plug these values into the formula and solve for the width.

Let's substitute the given values into the formula:

24 = 2 * (3 + Width)

Next, let's simplify the equation:

24 = 6 + 2 * Width

Now, let's isolate the variable (Width) by moving the constant term to the other side of the equation:

24 - 6 = 2 * Width

18 = 2 * Width

To solve for the width, we can divide both sides of the equation by 2:

18 / 2 = 2 * Width / 2

9 = Width

Therefore, the width of the garden needs to be 9 feet for a rectangle with a length of 3 feet and a perimeter of 24 feet.