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?(1 point)
Responses
6
6
3
3
4
4
9
To find the width of the garden, we can use the formula for the perimeter of a rectangle:
Perimeter = 2(length + width)
We know that the length is 3 feet. Let's substitute that in:
24 = 2(3 + width)
Simplifying the equation:
24 = 6 + 2width
Subtracting 6 from both sides:
18 = 2width
Dividing both sides by 2:
9 = width
So the width of the garden needs to be 9 feet.
To find the width of the rectangle for the garden, we can use the perimeter formula of a rectangle.
Perimeter = 2(length + width)
Given that the length is 3 feet and the total fencing available is 24 feet, we can set up the equation:
24 = 2(3 + width)
Simplifying the equation:
24 = 6 + 2 * width
Subtracting 6 from both sides:
18 = 2 * width
Dividing by 2:
9 = width
Therefore, the width of the rectangle needs to be 9 feet for this to work.
To determine the width of the garden, we need to use the given information that Nya has 24 feet of fencing and wants the garden to be in the shape of a rectangle with a length of 3 feet.
The perimeter of a rectangle can be calculated by adding the lengths of all its sides. Here, the perimeter of the garden is given as 24 feet.
Since we know the length is 3 feet, we can use the formula for the perimeter of a rectangle to solve for the width. The formula is:
Perimeter = 2(Length + Width)
Substituting the given values:
24 = 2(3 + Width)
Dividing both sides by 2:
12 = 3 + Width
Next, subtract 3 from both sides:
Width = 12 - 3
Simplifying:
Width = 9
Therefore, the width of the garden needs to be 9 feet for it to work with a length of 3 feet.