A 12-ft-by-15-ft rectangular swimming pool has a 3-ft-wide no-slip surface around it. What is the outer perimeter of the no-slip surface?
(1 point)
Responses
78 ft
78 ft2
198 ft
198 ft2
To find the outer perimeter of the no-slip surface, we need to add the lengths of all four sides.
The length of the pool is 12 ft and the width is 15 ft.
Since there is a 3-ft-wide no-slip surface around the pool, we need to add 3 ft to each side.
So, the length of the no-slip surface is 12 + 3 + 3 = 18 ft.
And the width of the no-slip surface is 15 + 3 + 3 = 21 ft.
Therefore, the outer perimeter of the no-slip surface is 2(18 + 21) = 2(39) = <<2*(18+21)=78>>78 ft.
So, the correct answer is 78 ft.
To find the outer perimeter of the no-slip surface, we need to calculate the length and width of the no-slip surface.
Given:
Length of the swimming pool = 12 ft
Width of the swimming pool = 15 ft
Width of the no-slip surface = 3 ft
To find the length of the no-slip surface, we subtract twice the width of the no-slip surface from the length of the swimming pool.
Length of the no-slip surface = Length of the swimming pool - 2 * Width of the no-slip surface
Length of the no-slip surface = 12 ft - 2 * 3 ft
Length of the no-slip surface = 12 ft - 6 ft
Length of the no-slip surface = 6 ft
Similarly, to find the width of the no-slip surface, we subtract twice the width of the no-slip surface from the width of the swimming pool.
Width of the no-slip surface = Width of the swimming pool - 2 * Width of the no-slip surface
Width of the no-slip surface = 15 ft - 2 * 3 ft
Width of the no-slip surface = 15 ft - 6 ft
Width of the no-slip surface = 9 ft
Now, we can calculate the outer perimeter of the no-slip surface by using the formula: 2 * (Length + Width)
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 * (6 ft + 9 ft)
Outer perimeter of the no-slip surface = 2 * 15 ft
Outer perimeter of the no-slip surface = 30 ft
Therefore, the outer perimeter of the no-slip surface is 30 ft.