Sari is creating a dog run space in her backyard. She has 40 feet of fencing to go around the outside, and she wants to make it rectangular with a width of 8 feet. What will the length be, in feet?
The perimeter of a rectangle is given by the formula P = 2L + 2W, where L is the length and W is the width. We know the perimeter, P, is 40 feet, and the width, W, is 8 feet. Substituting these values into the formula, we get 40 = 2L + 2(8).
Simplifying the right side of the equation, we have 40 = 2L + 16.
Subtracting 16 from both sides, we get 24 = 2L.
Dividing both sides by 2, we find L = 12.
The length of the dog run will be 12 feet. Answer: \boxed{12}.
To find the length of the dog run space, you can use the formula for the perimeter of a rectangle. The formula is P = 2w + 2l, where P is the perimeter, w is the width, and l is the length of the rectangle.
In this case, the perimeter is given as 40 feet and the width is given as 8 feet. We can substitute these values into the formula and solve for the length (l):
40 = 2(8) + 2l
40 = 16 + 2l
To isolate the variable, subtract 16 from both sides of the equation:
40 - 16 = 16 - 16 + 2l
24 = 2l
To solve for l, divide both sides of the equation by 2:
24 / 2 = 2l / 2
12 = l
Therefore, the length of the dog run space will be 12 feet.
To find the length of the dog run space, we need to use the information given.
Since Sari wants to create a rectangular dog run space, we can assume that the width of the dog run is 8 feet.
Now, let's calculate the perimeter of the rectangular dog run. The perimeter is the sum of all sides. In this case, the perimeter is equal to the total length of fencing that Sari has, which is 40 feet.
Since two sides of the rectangle are of equal length (width), we have to multiply the width by 2 to account for both sides. Therefore, the formula for the perimeter is:
Perimeter = 2 * (length + width)
Substituting the values we have:
40 = 2 * (length + 8)
Now, let's solve for the length:
Divide both sides of the equation by 2:
40 / 2 = length + 8
20 = length + 8
Subtract 8 from both sides:
20 - 8 = length
12 = length
Therefore, the length of the dog run space will be 12 feet.