Nia is building a gardener Yard. She has 24 feet of fencing for her garden and wanted to be in the shape of a rectangle with a length of 3 feet. What does the west need to be for this work?
To build a rectangle with a length of 3 feet, Nia needs to calculate the width of the garden.
First, let's identify the given information:
Length of the garden = 3 feet
Total fencing available = 24 feet
A rectangle has two lengths and two widths, and the total fencing is the sum of all sides.
In a rectangle, the opposite sides have the same length. So, if the length is 3 feet, there would be two sides of 3 feet each.
Now, let's calculate the remaining fencing required for the width:
Total fencing = 2 * length + 2 * width
24 feet = 2 * 3 feet + 2 * width
24 feet = 6 feet + 2 * width
Subtract 6 feet from both sides:
24 feet - 6 feet = 2 * width
18 feet = 2 * width
Divide both sides by 2:
18 feet / 2 = width
9 feet = width
Therefore, the width of the garden needs to be 9 feet for Nia's plan to work.
To find out the width of the garden, we can use the given information that the total length of fencing is 24 feet and the length of the garden is 3 feet.
Let's assume the width of the garden is x feet.
Since the shape of the garden is a rectangle, it has two equal lengths and two equal widths.
So, the perimeter of the rectangle garden is given by the formula: P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
Given: P = 24 feet and L = 3 feet.
Substituting the given values into the formula, we get: 24 = 2(3) + 2W.
Simplifying the equation: 24 = 6 + 2W.
Subtracting 6 from both sides of the equation: 24 - 6 = 2W.
Simplifying further: 18 = 2W.
Dividing both sides of the equation by 2: 18 / 2 = W.
Therefore, the width of Nia's garden should be 9 feet in order to fulfill the given conditions.
To find the width of Nia's garden, we can use the given information. Nia has 24 feet of fencing, and she wants to form a rectangle with a length of 3 feet.
Let's assume the length is represented by "L" and the width by "W".
The perimeter of a rectangle is given by the formula: perimeter = 2L + 2W.
We know that the length is 3 feet, so we can substitute L = 3 into the formula: perimeter = 2(3) + 2W.
Since the perimeter is given as 24 feet, we can set up the equation: 24 = 2(3) + 2W.
Simplifying, we have 24 = 6 + 2W.
Subtracting 6 from both sides of the equation, we get: 18 = 2W.
Dividing both sides by 2, we have: 9 = W.
Therefore, the width of Nia's garden should be 9 feet.