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)
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To calculate the outer perimeter of the no-slip surface, we need to find the dimensions of the surface area. Let's start by drawing a diagram to visualize the pool and the no-slip surface:
Here is a bird's eye view of the pool and the no-slip surface:
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| Pool (12 ft x 15 ft) |
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```
Since the no-slip surface extends 4 ft from each side of the pool, we can add an additional 4 ft to the length and width of the pool:
```
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| 4 ft Pool (12 ft x 15 ft) 4 ft
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```
Now, the dimensions of the no-slip surface are 12 ft + 8 ft (4 ft on each side) by 15 ft + 8 ft (4 ft on each side). Therefore, the dimensions of the no-slip surface are 20 ft by 23 ft.
To calculate the outer perimeter, we add up the lengths of all four sides:
Perimeter = 20 ft + 20 ft + 23 ft + 23 ft
Perimeter = 86 ft
So, the outer perimeter of the no-slip surface is 86 ft.
To determine the outer perimeter of the no-slip surface, we need to calculate the length and width of the no-slip surface area.
We know that the swimming pool measures 12 ft by 15 ft. Since there is a 4 ft wide no-slip surface around the pool, the pool itself will be surrounded by an additional 4 ft on each side.
To calculate the length of the no-slip surface area, we add the 4 ft on both ends of the length of the pool:
Length of no-slip surface area = 12 ft + 4 ft on both ends = 12 ft + 2 × 4 ft = 12 ft + 8 ft = 20 ft.
Similarly, to calculate the width of the no-slip surface area, we add the 4 ft on both sides of the width of the pool:
Width of no-slip surface area = 15 ft + 4 ft on both sides = 15 ft + 2 × 4 ft = 15 ft + 8 ft = 23 ft.
Now that we have the length and width of the no-slip surface area, we can calculate the outer perimeter by adding the lengths of all four sides:
Outer perimeter of no-slip surface area = 2 × (Length + Width)
Outer perimeter of no-slip surface area = 2 × (20 ft + 23 ft)
Outer perimeter of no-slip surface area = 2 × 43 ft
Outer perimeter of no-slip surface area = 86 ft.
So, the outer perimeter of the no-slip surface is 86 ft.
Here is a simple diagram to help visualize the pool and the no-slip surface area:
```
12 ft
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| Outer perimeter |
| _____________________ |
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| | Pool (12 ft x 15 ft)| |
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| |_____________________| |
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| No-Slip surface |
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|__________________|
15 ft
```
In the diagram, the inner rectangle represents the pool, and the outer rectangle represents the no-slip surface area. The outer perimeter is the sum of the lengths of the four sides of the no-slip surface area.
The outer perimeter of the no-slip surface is formed by two lengths and two widths of the pool, as shown in the picture:
|--------------------------|
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|--------15ft-------|
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| 12ft |
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|--------------------------|
The two lengths of the pool are 15 ft each, and the two widths are 12 ft each. Therefore, the outer perimeter of the no-slip surface is:
Perimeter = 2(15 ft) + 2(12 ft)
Perimeter = 30 ft + 24 ft
Perimeter = 54 ft
So, the outer perimeter of the no-slip surface is 54 ft.