A 12 ft by 15 ft rectangular swimming pool has a 4 ft wide no slip surface around it. What is the outer perimeter of the no slip surface? (Draw a picture to help you)(1 point)
Responses
70 ft2
70 ft2
70 ft
70 ft
86 ft2
86 ft2
86 ft
To find the outer perimeter of the no slip surface, we need to first find the dimensions of the overall area that includes the pool and the no slip surface.
The length of the overall area is the length of the pool plus twice the width of the no slip surface. So, the length of the overall area is 12 ft + 2(4 ft) = 12 ft + 8 ft = 20 ft.
The width of the overall area is the width of the pool plus twice the width of the no slip surface. So, the width of the overall area is 15 ft + 2(4 ft) = 15 ft + 8 ft = 23 ft.
Now, we can find the outer perimeter of the no slip surface by adding up the lengths of all four sides. The top and bottom sides have a length of 20 ft, and the left and right sides have a length of 23 ft. So, the outer perimeter of the no slip surface is 20 ft + 23 ft + 20 ft + 23 ft = 86 ft.
Therefore, the correct answer is 86 ft.
To calculate the outer perimeter of the no-slip surface around the pool, we can start by finding the dimensions of the no-slip surface by subtracting twice the width of the no-slip surface from the length and width of the pool.
Given:
Length of the pool = 12 ft
Width of the pool = 15 ft
Width of the no-slip surface = 4 ft
To find the length of the no-slip surface:
Length of the no-slip surface = Length of the pool - 2 * Width of the no-slip surface
Length of the no-slip surface = 12 ft - 2 * 4 ft
Length of the no-slip surface = 12 ft - 8 ft
Length of the no-slip surface = 4 ft
To find the width of the no-slip surface:
Width of the no-slip surface = Width of the pool - 2 * Width of the no-slip surface
Width of the no-slip surface = 15 ft - 2 * 4 ft
Width of the no-slip surface = 15 ft - 8 ft
Width of the no-slip surface = 7 ft
Now that we have the dimensions of the no-slip surface, we can calculate its outer perimeter by adding all four sides.
Outer perimeter of the no-slip surface = 2 * (Length of the no-slip surface + Width of the no-slip surface)
Outer perimeter of the no-slip surface = 2 * (4 ft + 7 ft)
Outer perimeter of the no-slip surface = 2 * 11 ft
Outer perimeter of the no-slip surface = 22 ft
Therefore, the outer perimeter of the no-slip surface is 22 ft.