Roberto is putting a fence around his pool. The pool is 50 feet long and 35 feet wide. The fence will be nine feet away from the pool on all sides. How many feet of fence is Roberto installing?
2(50+9 + 35+9) = _____
Well, Roberto is certainly taking pool safety seriously by putting up a fence! Let's calculate how much fence he'll need. Since the fence will be nine feet away from the pool on all sides, we can add 18 feet to both the length and width of the pool. So, the extended dimensions of the area that needs a fence are 68 feet long (50 + 18 + 18) and 53 feet wide (35 + 18 + 18). Remember, we need to count all four sides, so we'll multiply the perimeter of the extended area by 2. Thus, Roberto will be installing a total of (68 + 53) x 2 = 242 feet of fence. That's a whole lot of fencing!
To calculate the amount of fence Roberto is installing, we need to find the perimeter of the pool and add the extra length around it.
The perimeter of a rectangular pool is calculated by adding the lengths of all four sides.
Given that the pool is 50 feet long and 35 feet wide, the total length of the pool's perimeter is:
Perimeter = 2 * (Length + Width)
Perimeter = 2 * (50 + 35)
Perimeter = 2 * 85
Perimeter = 170 feet
Since the fence will be nine feet away from the pool on all sides, we need to add this extra distance to the perimeter.
Total fencing needed = Perimeter + 4 * Extra distance
Total fencing needed = 170 + 4 * 9
Total fencing needed = 170 + 36
Total fencing needed = 206 feet
Therefore, Roberto will install 206 feet of fence around his pool.
To find out how many feet of fence Roberto is installing, we need to calculate the total perimeter of the area where the fence will be placed.
Given that the pool is 50 feet long and 35 feet wide, and there will be a 9-foot gap between the pool and the fence on all sides, we can start by calculating the length and width of the area where the fence will be placed.
The length of the area where the fence will be placed is calculated by adding two times the pool length to two times the gap length:
Length of fence area = 2 * pool length + 2 * gap length
Therefore, the length of the fence area is:
Length of fence area = 2 * 50 ft + 2 * 9 ft = 100 ft + 18 ft = 118 ft
Similarly, the width of the area where the fence will be placed is calculated by adding two times the pool width to two times the gap length:
Width of fence area = 2 * pool width + 2 * gap length
Therefore, the width of the fence area is:
Width of fence area = 2 * 35 ft + 2 * 9 ft = 70 ft + 18 ft = 88 ft
Now that we have the length and width of the fence area, we can calculate the total perimeter of this area, which will tell us the number of feet of fence Roberto is installing:
Total perimeter of fence = 2 * (Length of fence area + Width of fence area)
Plugging in the values, we get:
Total perimeter of fence = 2 * (118 ft + 88 ft)
Total perimeter of fence = 2 * 206 ft
Total perimeter of fence = 412 ft
Therefore, Roberto is installing 412 feet of fence around his pool.