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 4 4 9 9 6 6
The width of the garden needs to be 9 feet.
To find the width of the garden, we need to determine the remaining length of the fence after accounting for the length of 3 feet.
Given that Nya has 24 feet of fencing and the length of the garden is 3 feet,
the remaining fence length = total fence length - garden length
= 24 feet - 3 feet
= 21 feet
Since a rectangle has two equal lengths and two equal widths, we can divide the remaining fence length by 2 to get the width.
Width = remaining fence length / 2
= 21 feet / 2
= 10.5 feet
Therefore, the width of the garden needs to be 10.5 feet.
To find the width of the rectangular garden, we need to determine the amount of fencing required for each side and then solve for the remaining width.
A rectangle has two equal pairs of sides, so if the length is 3 feet, then the other length is also 3 feet. Let's calculate the perimeter of the rectangle:
2(length) + 2(width) = Perimeter
2(3 feet) + 2(width) = 24 feet
6 feet + 2(width) = 24 feet
To solve for the width, subtract 6 feet from both sides of the equation:
2(width) = 24 feet - 6 feet
2(width) = 18 feet
Next, divide both sides of the equation by 2 to isolate the width:
width = 18 feet / 2
width = 9 feet
Therefore, the width of the rectangular garden needs to be 9 feet for Nya's 24 feet of fencing to work.