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
6
3
To find the width of the garden, we can use the formula for the perimeter of a rectangle:
Perimeter = 2(length + width)
Given that the length is 3 feet and the total fencing available is 24 feet, we can substitute these values into the formula and solve for the width:
24 = 2(3 + width)
Divide both sides of the equation by 2:
12 = 3 + width
Subtract 3 from both sides:
9 = width
Therefore, the width of the garden needs to be 9 feet for the fencing to work.
To find the width of the rectangular garden, we can use the formula for the perimeter of a rectangle, which is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
Given that the length is 3 feet and the total fencing available is 24 feet, we can set up an equation:
24 = 2(3) + 2W
Simplifying this equation, we get:
24 = 6 + 2W
Subtracting 6 from both sides, we have:
18 = 2W
Dividing both sides by 2, we find:
W = 9
Therefore, the width of the garden should be 9 feet.
To find the width of the garden, we need to use the given information that the length of the garden is 3 feet and the total length of fencing available is 24 feet.
Let's assume the width of the garden is W feet.
A rectangle has two lengths and two widths. In this case, the rectangle has a length of 3 feet and a width of W feet.
The perimeter of a rectangle is given by the formula: Perimeter = 2(length + width)
We know that the perimeter of the garden should be equal to the total length of fencing available, which is 24 feet. So we can set up the equation:
24 = 2(3 + W)
Now, let's solve for W by simplifying the equation:
24 = 2(3 + W)
24 = 6 + 2W
24 - 6 = 2W
18 = 2W
W = 18/2
W = 9
Therefore, the width of the garden should be 9 feet.