John wants to build a fence around his pool. The pool is 22 feet long by 23 feet wide. The fence is to be 15 feet from the edge of the pool. What are the outside dimensions of the area surrounding the pool. How many feet of fencing will john need A: 37 ft by 38 ft; 75 ft B: 37 ft by 38 ft; 150 ft C: 52 ft by 53 ft; 105 ft D: 52 ft by 53 ft; 210 ft
C: 52 ft by 53 ft; 105 ft
To find the outside dimensions of the area surrounding the pool, we need to add 15 feet to each side of the pool.
The length of the area surrounding the pool would be (22 feet + 15 feet + 15 feet) = 52 feet.
The width of the area surrounding the pool would be (23 feet + 15 feet + 15 feet) = 53 feet.
So, the outside dimensions of the area surrounding the pool are 52 feet by 53 feet.
To find the amount of fencing John will need, we need to calculate the perimeter of the area surrounding the pool.
The perimeter is calculated by adding all four sides of the rectangle.
Perimeter = (Length + Width) x 2
Using the given dimensions of the area surrounding the pool, we can calculate the perimeter:
Perimeter = (52 feet + 53 feet) x 2
Perimeter = 105 feet x 2
Perimeter = 210 feet
Therefore, John will need 210 feet of fencing.
The correct answer is D: 52 ft by 53 ft; 210 ft.
To calculate the outside dimensions of the area surrounding the pool, we need to add twice the distance of the fence to each side of the pool.
Length of the pool = 22 feet
Width of the pool = 23 feet
Distance of the fence = 15 feet
Adding the fence distance to each side:
Total length of the area = Length of the pool + 2 * Distance of the fence
Total length of the area = 22 + 2 * 15 = 22 + 30 = 52 feet
Total width of the area = Width of the pool + 2 * Distance of the fence
Total width of the area = 23 + 2 * 15 = 23 + 30 = 53 feet
So, the outside dimensions of the area surrounding the pool are 52 ft by 53 ft.
Next, to calculate the amount of fencing John will need, we need to add the perimeter of the area surrounding the pool.
Perimeter of the area = 2 * (Length of the area + Width of the area)
Perimeter of the area = 2 * (52 + 53) = 2 * 105 = 210 feet
Therefore, John will need 210 feet of fencing.
The correct answer is D: 52 ft by 53 ft; 210 ft.