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
4
3
9
To calculate the width of the garden, we need to use the fact that a rectangle has two sides of equal length opposite each other. Therefore, if the length of the garden is 3 feet, the opposite side must also be 3 feet.
Given that the total fencing available is 24 feet, we can calculate the width using the equation:
Perimeter of a rectangle = 2(length + width)
By substituting the known values into the equation, we get:
24 = 2(3 + width)
Simplifying further,
24 = 6 + 2width
Subtracting 6 from both sides,
18 = 2width
Lastly, we divide both sides by 2 to isolate the width:
width = 18/2
width = 9
Therefore, the width of the garden needs to be 9 feet for it to work.
So, the correct answer is: 9.
To solve this problem, we need to understand the relationship between the perimeter (total length of the fencing) and the dimensions of the rectangle.
In this case, the perimeter of the garden is given as 24 feet. The perimeter of a rectangle can be calculated by adding the lengths of all four sides together.
Since we know the length of the rectangle is 3 feet, we can assign the variable "L" to represent the length and the variable "W" to represent the width.
The perimeter formula can be written as:
Perimeter = 2L + 2W
Substituting the given values, we get:
24 = 2(3) + 2W
24 = 6 + 2W
Next, we need to isolate the variable W by subtracting 6 from both sides of the equation:
24 - 6 = 2W
18 = 2W
Now, divide both sides of the equation by 2 to solve for W:
18/2 = W
9 = W
Therefore, the width of the rectangle needs to be 9 feet.
To find the width of the garden, we need to consider that 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, the perimeter is given as 24 feet and the length is given as 3 feet.
Substituting the known values into the formula, we have:
24 = 2(3) + 2W
Simplifying the equation, we get:
24 = 6 + 2W
Subtracting 6 from both sides, we get:
18 = 2W
Dividing both sides by 2, we get:
9 = W
Therefore, the width of the garden needs to be 9 feet in order to fulfill the given conditions.