Sari is creatig 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?
To find the length of the rectangle, we can subtract the width from the total length of the fence.
Total length of the fence = 40 feet
Width of the rectangle = 8 feet
Length = Total length of the fence - Width
Length = 40 feet - 8 feet
Length = 32 feet
The length of the rectangle will be 32 feet.
To find the length of the rectangular dog run, we can use the perimeter formula for a rectangle, which is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
Given that the width is 8 feet, we know that W = 8.
The perimeter, P, is given as 40 feet, so we can substitute these values into the formula:
40 = 2L + 2(8)
Now, we can simplify the equation:
40 = 2L + 16
Subtract 16 from both sides of the equation:
40 - 16 = 2L + 16 - 16
24 = 2L
Divide both sides of the equation by 2:
24 / 2 = 2L / 2
12 = L
Therefore, the length of the rectangular dog run will be 12 feet.
To find the length of the rectangular dog run space, we need to use the formula for the perimeter of a rectangle, which is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
In this case, we know the width is 8 feet and the perimeter is 40 feet.
Let's substitute these values into the formula:
40 = 2(l + 8)
Now, let's solve for the length (l):
Divide both sides of the equation by 2:
40/2 = l + 8
20 = l + 8
Subtract 8 from both sides:
20 - 8 = l
12 = l
Therefore, the length of the rectangular dog run space will be 12 feet.