A A sidewalk that is 2 feet wide surrounds rectangle as 4‘ x 6‘. What is the area sidewalk and square feet?

To calculate the area of the sidewalk, we need to find the difference between the area of the entire rectangle including the sidewalk and the area of the inner rectangle without the sidewalk.

### Steps:
1. **Dimensions of the inner rectangle:**
   - Length = 6 feet
   - Width = 4 feet

   So, the area of the inner rectangle is:
   \[
   \text{Inner Area} = 6 \times 4 = 24 \text{ square feet}
   \]

2. **Dimensions of the entire rectangle including the sidewalk:**
   - The sidewalk is 2 feet wide, so it adds 4 feet to both the length and width (2 feet on each side).
   - New Length = \(6 + 2 + 2 = 10\) feet
   - New Width = \(4 + 2 + 2 = 8\) feet

   So, the area of the outer rectangle (including the sidewalk) is:
   \[
   \text{Outer Area} = 10 \times 8 = 80 \text{ square feet}
   \]

3. **Area of the sidewalk:**
   The area of the sidewalk is the difference between the outer area and the inner area:
   \[
   \text{Sidewalk Area} = \text{Outer Area} - \text{Inner Area} = 80 - 24 = 56 \text{ square feet}
   \]

### Answer:
The area of the sidewalk is **56 square feet**.

Would you like any additional details or further explanation on this? Here are five questions that can expand on this concept:

1. How would the area of the sidewalk change if its width increased?
2. What would happen to the area of the sidewalk if the rectangle's dimensions changed to 8' x 12'?
3. How do you calculate the perimeter of the inner and outer rectangles?
4. What is the total perimeter of the sidewalk itself?
5. Can we apply this calculation method to any irregular shapes?

**Tip:** Always remember to check both the inner and outer dimensions when calculating areas involving surrounding spaces like sidewalks!

A sidewalk that is 2 feet wide surrounds rectangle as 4‘ x 6‘. What is the area of the sidewalk in square feet?

Learn how to calculate the area of a sidewalk that surrounds a rectangle with dimensions 4 feet by 6 feet. This problem covers key geometric concepts like area calculation, including formulas for finding the inner and outer areas of rectangles. Suitable for students in Grades 5-7.

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