Damari is building a garden in her yard. She has 24 feet of fencing for her garden and she 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?
To find the width of the garden, we can use the information given about the total amount of fencing available.
1. The perimeter of a rectangle is given by the formula: perimeter = 2(length + width).
2. In this case, the perimeter of the garden is equal to the amount of fencing available, which is 24 feet.
So, we have: 2(length + width) = 24.
Given that the length of the garden is 3 feet:
2(3 + width) = 24.
Now, let's solve this equation step by step to find the width:
1. Distribute the 2 on the left side of the equation:
6 + 2width = 24.
2. Then, subtract 6 from both sides to isolate the term with the variable:
2width = 18.
3. Divide both sides of the equation by 2 to solve for the width:
width = 9.
Therefore, the width of the garden should be 9 feet in order to work with the given length of 3 feet and the available 24 feet of fencing.
To find the width of the rectangle, you need to determine how much fencing is left after subtracting the length of the rectangle from the total fencing.
Since the length of the rectangle is given as 3 feet, you subtract 3 from 24 to find the remaining fencing: 24 - 3 = <<24-3=21>>21 feet
To form a rectangle, the width and length should be equal. Thus, the width of the rectangle should be 21 feet.
To find the width of the garden, we can use the formula for the perimeter of a rectangle, which is given by:
Perimeter = 2 * (Length + Width)
We know that the total length of fencing available is 24 feet, and the length of the garden is given as 3 feet. Substituting these values into the formula, we have:
24 = 2 * (3 + Width)
Dividing both sides of the equation by 2, we get:
12 = 3 + Width
Subtracting 3 from both sides of the equation, we find:
Width = 12 - 3
Width = 9
Therefore, the width of the garden needs to be 9 feet.