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 4 4 9 9 3 3 6 6
To find the width of the garden, we need to subtract the length from the total perimeter and divide by 2, since opposite sides of a rectangle are equal in length.
Total perimeter = 24 feet
Length = 3 feet
Width = (Total perimeter - Length) / 2
Width = (24 - 3) / 2
Width = 21 / 2
Width = 10.5 feet
Since the width cannot be a fraction of a foot in this context, we round it to the nearest whole number.
Therefore, the width should be 11 feet.
wrong
Apologies for the incorrect response.
The correct solution is as follows:
Total perimeter = 24 feet
Length = 3 feet
To find the width of the garden, we can subtract the length from the total perimeter and divide the remaining distance by 2, since opposite sides of a rectangle are equal in length.
Width = (Total perimeter - Length) / 2
Width = (24 - 3) / 2
Width = 21 / 2
Width = 10.5 feet
Since the width cannot be a fraction of a foot in this context, we round it down to the nearest whole number.
Therefore, the width should be 10 feet.
It 4 Or 9 or 3 or 6
Apologies for the confusion.
Since the length is given as 3 feet and the total perimeter is 24 feet, we can set up an equation to find the width of the garden.
2 * (length + width) = total perimeter
2 * (3 + width) = 24
6 + 2 * width = 24
2 * width = 24 - 6
2 * width = 18
Now, we can solve for the width:
width = 18 / 2
width = 9
Therefore, the width of the garden needs to be 9 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)
In this case, the perimeter is 24 feet and the length is given as 3 feet. Substituting these values into the formula, we have:
24 = 2(3 + width)
Now, let's solve for the width. First, distribute the 2:
24 = 6 + 2width
Next, isolate the variable by subtracting 6 from both sides:
24 - 6 = 6 - 6 + 2width
18 = 2width
Finally, divide both sides by 2 to solve for the width:
18/2 = 2width/2
9 = width
Therefore, the width of the garden needs to be 9 feet.