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
6
6
9
9
3
Let's start by calculating the perimeter of the rectangle. The formula for the perimeter of a rectangle with length L and width W is P = 2L + 2W.
In this case, we know that the length is 3 feet. So, the perimeter is P = 2(3) + 2W.
We also know that Nya has 24 feet of fencing. So, the perimeter must equal 24 feet.
Substituting the values into the equation, we get 24 = 2(3) + 2W.
Simplifying, we get 24 = 6 + 2W.
Subtracting 6 from both sides of the equation, we get 18 = 2W.
Dividing both sides of the equation by 2, we get W = 9.
Therefore, the width needs to be 9 feet for the garden to work.
To find the width of the garden, we can use the perimeter formula for a rectangle. The perimeter of a rectangle is calculated by adding up all the sides.
In this case, we know that the perimeter is 24 feet and the length is 3 feet. Let's assume the width is represented by 'w'. The perimeter formula will be:
Perimeter = 2 * (Length + Width)
Substituting the given values into the formula, we get:
24 = 2 * (3 + w)
Now, let's solve for 'w'.
Dividing both sides of the equation by 2:
12 = 3 + w
Subtracting 3 from both sides:
12 - 3 = w
w = 9
Therefore, the width of the garden needs to be 9 feet for it to work.
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 set up the equation:
24 = 2 * (3 + Width)
Dividing both sides by 2, we get:
12 = 3 + Width
Subtracting 3 from both sides, we find:
Width = 9
So, the width of the garden needs to be 9 feet.