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)
A)9
B)4
C)3
D)6
The perimeter of a rectangle is given by the formula P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
In this case, we know that the length is 3 feet. We also know that the total length of fencing is 24 feet. Using the perimeter formula, we can write the equation:
24 = 2(3) + 2W
Simplifying this equation, we have:
24 = 6 + 2W
Subtracting 6 from both sides, we get:
18 = 2W
Dividing both sides of the equation by 2, we find:
9 = W
Therefore, the width needs to be 9 feet for this to work.
The correct answer is A) 9.
To find the width of the garden, we need to use the concept of perimeter. The perimeter of a rectangle is given by the formula: perimeter = 2(length + width).
Given that the length is 3 feet and the perimeter is 24 feet, we can set up the equation:
24 = 2(3 + width)
Divide both sides of the equation by 2:
12 = 3 + width
Subtract 3 from both sides of the equation:
9 = width
Therefore, the width of the garden needs to be 9 feet.
So the correct answer is A) 9.
To determine the width of the garden, we can use the fact that the perimeter of a rectangle is given by the sum of all its sides.
In this case, the perimeter of the garden is 24 feet, and we are given that the length is 3 feet. Let's denote the width of the rectangle as w.
The formula for the perimeter of a rectangle is:
Perimeter = 2*(length + width)
Substituting the given values, we get:
24 = 2*(3 + w)
Simplifying the equation:
24 = 6 + 2w
Subtracting 6 from both sides:
18 = 2w
Dividing both sides by 2:
9 = w
Therefore, the width of the garden needs to be 9 feet for it to work.
So the answer is A) 9.