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A rectangular garden measures 20 ft by 34 ft. Surrounding (and bordering) the garden is a path 3 ft wide. Find the area of this path. Be sure to include the correct unit in your answer.

Sagot :

GinnyAnswer
Sure, let's go through the steps to solve the problem:

1. Understand the Dimensions of the Garden and Path:
- The garden itself measures 20 feet (length) by 34 feet (width).
- There is a path 3 feet wide surrounding the garden on all four sides.

2. Calculate the Total Dimensions Including the Path:
- The path adds 3 feet on each side of the garden. Therefore, the total length and total width, including the path, need to account for an additional 3 feet on both ends of the garden.
- Total length = Garden length + 2 Path width = 20 feet + 2 3 feet = 20 feet + 6 feet = 26 feet.
- Total width = Garden width + 2 Path width = 34 feet + 2 3 feet = 34 feet + 6 feet = 40 feet.

3. Calculate the Area of the Garden:
- Area of the garden (without the path) = Length Width = 20 feet 34 feet = 680 square feet.

4. Calculate the Total Area Including the Path:
- Total area (garden + path) = Total length Total width = 26 feet 40 feet = 1040 square feet.

5. Calculate the Area of the Path:
- Area of the path = Total area (garden + path) - Area of the garden.
- Area of the path = 1040 square feet - 680 square feet = 360 square feet.

So, the area of the path surrounding the garden is 360 square feet.
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