Gabriella needs 120
meters of fence to surround a rectangular garden.
The length of the garden is three times its width, w
.
How wide is the fence?
To find the width of the fence, we need to set up an equation based on the given information.
Let's denote the width of the garden as w.
Since the length of the garden is three times its width, we can say that the length of the garden is 3w.
The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
For this problem, the perimeter is given as 120 meters.
So, we can set up the equation:
120 = 2(3w) + 2w
Now, let's simplify and solve for w:
120 = 6w + 2w
120 = 8w
Dividing both sides of the equation by 8, we find:
w = 15
Therefore, the width of the fence is 15 meters.
To find the width of the garden, we need to set up an equation using the given information.
Let's assume the width of the garden is w meters.
According to the given information, the length of the garden is three times its width, so the length will be 3w meters.
To find the perimeter of the garden, we add the lengths of all four sides:
Perimeter = 2(length) + 2(width)
Using the values we have, the perimeter of the garden is:
Perimeter = 2(3w) + 2(w)
Perimeter = 6w + 2w
Perimeter = 8w
We are given that the perimeter is 120 meters, so we can set up the equation:
8w = 120
To find the width, we can solve for w by dividing both sides of the equation by 8:
w = 120 / 8
w = 15
So, the width of the garden is 15 meters.
To find the width of the fence, we first need to find the values of the width and length of the garden.
Let's solve the problem step by step:
1. Let's assume the width of the rectangular garden is w meters.
2. According to the problem, the length of the garden is three times its width, which means it is 3w meters.
Now, we can calculate the total amount of fence needed to surround the garden:
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:
P = 2(3w) + 2w
P = 6w + 2w
P = 8w meters
We know the perimeter of the garden is given as 120 meters in the problem. So, we can set up an equation:
8w = 120
To find the value of w, divide both sides of the equation by 8:
w = 120/8
w = 15
Therefore, the width of the fence is 15 meters.