nya is building a garden in her backyard 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
To find the width of the garden, we can use the formula for the perimeter of a rectangle, which is given by:
Perimeter = 2(length) + 2(width)
Given that the length of the garden is 3 feet and the total fencing available is 24 feet, we can substitute these values into the formula:
24 = 2(3) + 2(width)
Simplifying this equation:
24 = 6 + 2(width)
Subtracting 6 from both sides:
18 = 2(width)
Now, we can solve for the width by dividing both sides of the equation by 2:
width = 18/2 = 9
Therefore, the width of the garden needs to be 9 feet for this to work.
To determine the width of the garden, we can start by calculating the perimeter of the garden, which will allow us to find the width.
The formula for the perimeter of a rectangle is: perimeter = 2 * (length + width).
Given that the length of the garden is 3 feet and the perimeter is 24 feet, we can substitute these values into the formula:
24 = 2 * (3 + width)
Next, we can simplify the equation:
24 = 6 + 2*width
To isolate the width, we'll subtract 6 from both sides of the equation:
18 = 2*width
Finally, we can divide both sides of the equation by 2 to solve for the width:
width = 9
Therefore, the width of the garden needs to be 9 feet for it to work with a length of 3 feet.
To determine the width of the garden, we can use the given information about the length and the total amount of fencing available.
1. Start by visualizing the shape of the rectangular garden. We know that it has a length of 3 feet and a width that we need to find.
2. By definition, a rectangle has two pairs of equal sides. Therefore, we can express the perimeter of a rectangle as: Perimeter = 2 * (Length + Width).
3. We are given that the perimeter of the garden is 24 feet. Plugging in the values, we have: 24 = 2 * (3 + Width).
4. Simplify the equation: 24 = 6 + 2 * Width.
5. Subtract 6 from both sides: 24 - 6 = 2 * Width.
6. Simplify: 18 = 2 * Width.
7. Divide both sides by 2: 18 / 2 = Width.
8. Calculate: Width = 9 feet.
Therefore, in order for the garden to be rectangular with a length of 3 feet and a total of 24 feet of fencing, the width of the garden should be 9 feet.