You are planning to plant a garden in your backyard. The garden will have a rectangular shape with dimensions 10ft by 6ft. However, you want to have a path surrounding your garden that will be 1ft wide. What will be the total area of both the garden and the path? And how can you calculate the area of only the path?

To calculate the total area of both the garden and the path, we need to find the combined area of the garden and the path.

The garden has dimensions of 10ft by 6ft, so its area is calculated by multiplying the length by the width: 10ft x 6ft = 60 square feet.

To find the area of the path, we need to subtract the area of the garden from the area of the combined garden and path.

The combined length of the garden and the path will be the original length plus 2 times the width of the path (to account for the path on both sides). So, the combined length is 10ft + 2(1ft) = 10ft + 2ft = 12ft.

Similarly, the combined width will be the original width plus 2 times the width of the path. So, the combined width is 6ft + 2(1ft) = 6ft + 2ft = 8ft.

The area of the combined garden and path is then calculated by multiplying the combined length by the combined width: 12ft x 8ft = 96 square feet.

To calculate the area of only the path, you can subtract the area of the garden from the area of the combined garden and path. In this case, the area of the path would be 96 square feet - 60 square feet = 36 square feet.

To calculate the total area of both the garden and the path, you need to add the area of the garden and the area of the path together.

1. Calculate the area of the garden:
- The garden has dimensions 10ft by 6ft, so its area is 10ft * 6ft = 60 square feet.

2. Calculate the area of the path around the garden:
- The path is 1ft wide, so each side of the garden will have an additional 1ft on each dimension.
- The length of the garden, including the path, will be 10ft + 2ft = 12ft.
- The width of the garden, including the path, will be 6ft + 2ft = 8ft.
- Therefore, the area of the path is (12ft * 8ft) - (10ft * 6ft) = 96 square feet - 60 square feet = 36 square feet.

3. Calculate the total area of the garden and the path:
- Add the area of the garden and the area of the path together: 60 square feet + 36 square feet = 96 square feet.

So, the total area of both the garden and the path is 96 square feet.

To calculate the area of only the path, you can subtract the area of the garden from the area of the garden and the path.

1. Calculate the area of the garden (as mentioned above): 60 square feet.

2. Calculate the area of the path:
- The area of the garden and the path is 96 square feet (as previously calculated).
- Subtract the area of the garden from the total area to find the area of only the path: 96 square feet - 60 square feet = 36 square feet.

Therefore, the area of only the path is 36 square feet.