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)

Question

Illustrate a picturesque image of a woman constructively planning the layout of a rectangular garden in her yard. This beautiful scene should capture the woman, who's of Asian descent, deeply engrossed in her plans, a rolled-out blueprint in front of her showing a rectangle. There should be segments of fence close by, already measured to be 24 feet in total. The length of the projected garden space is marked clearly as 3 feet. However, the width remains unmarked, leaving room for calculation. Ensure there's no text within the image.

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

9
9

4
4

6
6

3

Answer 1

To find the width of the rectangle, 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 perimeter is 24 feet, we can substitute these values into the formula and solve for the width:

24 = 2(3) + 2W
24 = 6 + 2W
2W = 24 - 6
2W = 18
W = 18/2
W = 9

Therefore, the width needs to be 9 feet for the garden to have a length of 3 feet and a perimeter of 24 feet.

Answer 2

To find the width of the garden, you can start by calculating the perimeter of the rectangle.

The perimeter is equal to the sum of all sides of the rectangle, which in this case is the sum of the length and the width.

Given that the length is 3 feet, the perimeter can be expressed as:

Perimeter = 2 * (length + width)

In this case, the perimeter is given as 24 feet. Thus, we can set up the equation:

24 = 2 * (3 + width)

Simplifying the equation, we have:

24 = 2 * 3 + 2 * width

24 = 6 + 2 * width

Subtracting 6 from both sides of the equation, we get:

18 = 2 * width

Dividing both sides of the equation by 2, we have:

9 = width

Therefore, the width of the garden must be 9 feet for it to work.

Answer 3

To figure out the width of the garden, we need to use the formula for the perimeter of a rectangle. The formula for the perimeter of a rectangle is P = 2 * (length + width), where P is the perimeter, length is the length of the rectangle, and width is the width of the rectangle.

In this case, the length of the garden is given as 3 feet, and the total fencing available is 24 feet. We need to set up an equation and solve for the width.

Using the formula for the perimeter: 24 = 2 * (3 + width)

Now let's solve for the width:

Divide both sides of the equation by 2: 12 = 3 + width

Subtract 3 from both sides of the equation: 12 - 3 = width

Simplifying the equation: width = 9

Therefore, the width of the garden needs to be 9 feet for it to work with a length of 3 feet.