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 3 3 9 9 6 6 4
To find the width of the garden, we can use the formula for the perimeter of a rectangle, which is 2 times the length plus 2 times the width.
Given that the length is 3 feet and the perimeter of the garden should be 24 feet, we can set up the equation:
2(3) + 2w = 24
6 + 2w = 24
2w = 24 - 6
2w = 18
w = 18/2
w = 9
Therefore, the width of the garden needs to be 9 feet.
To find the width of the garden, we need to understand how to calculate the perimeter of a rectangle. The formula to find the perimeter of a rectangle is 2 * (length + width).
In this case, we know the length is 3 feet, and the total perimeter is 24 feet. So we can set up an equation to solve for the width:
2 * (3 + width) = 24
Now we can solve for the width:
2 * (3 + width) = 24
6 + 2 * width = 24
2 * width = 18
width = 18 / 2
width = 9
Thus, the width needs to be 9 feet for the garden to work.
To determine the width of the garden, we can use the formula for the perimeter of a rectangle, which is given by:
Perimeter = 2 * (Length + Width)
In this case, the perimeter is given as 24 feet, and the length is given as 3 feet. So, we can substitute these values into the formula:
24 = 2 * (3 + Width)
Next, we can simplify the equation by distributing the 2:
24 = 6 + 2*Width
Subtracting 6 from both sides of the equation:
18 = 2*Width
Lastly, to isolate the width, we will divide both sides of the equation by 2:
Width = 18/2 = 9
Therefore, the width of the garden needs to be 9 feet.