Sarah is creating a dog run space in our 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 lengths be in feet?
Let L be the length of the dog run space.
The total perimeter of the rectangular space is L + 8 + L + 8 = 2L + 16 feet.
Since Sarah has 40 feet of fencing, we have the equation 2L + 16 = 40.
Subtracting 16 from both sides, we get 2L = 24.
Dividing both sides by 2, we get L = 12 feet.
Therefore, the length of the dog run space is 12 feet. Answer: \boxed{12}.
To calculate the lengths of the dog run, we need to consider that the width is given as 8 feet and the total fencing available is 40 feet.
Let's assume the length of the dog run is "L" feet.
The dog run is a rectangular shape, so it has two equal lengths and two equal widths.
Since the width is given as 8 feet, we can see that each width side requires 8 feet of fencing. Therefore, the total length of the width sides is 2 times 8 feet, which is 16 feet.
To determine the length of the dog run, we subtract the total length of the width sides from the total fencing available:
Length = Total Fencing - Total Width
L = 40 feet - 16 feet
L = 24 feet
So, the lengths of the dog run will be 24 feet.
To find the lengths of the rectangular dog run, we need to consider the given information:
1. The perimeter of a rectangle is the sum of all its sides.
2. The perimeter of the dog run is equal to the amount of fencing available.
In this case, Sarah has 40 feet of fencing available. We know that the width of the dog run is 8 feet. So, we can calculate the lengths as follows:
1. First, let's assume that the length of the rectangle is 'x' feet.
2. The perimeter of the rectangle would then be: 2 * (width + length) = 2 * (8 + x) = 16 + 2x.
3. According to the information given, the perimeter should be equal to 40 feet: 16 + 2x = 40.
4. Now, let's solve for 'x':
- Subtract 16 from both sides: 2x = 40 - 16 = 24.
- Divide both sides by 2: x = 24 / 2 = 12.
Therefore, the length of the rectangular dog run will be 12 feet.