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The problem states that a scale drawing of a rectangular park is 5 inches wide and 7 inches long, and the actual park is 280 yards long. You are asked to find the area of the actual park in square yards.

### Step-by-Step Solution:

1. **Determine the scale**:
   The drawing's length is 7 inches, while the actual park's length is 280 yards. The scale factor between the drawing and the actual park is:
   \[
   \text{Scale factor} = \frac{\text{Actual length}}{\text{Drawing length}} = \frac{280 \text{ yards}}{7 \text{ inches}} = 40 \text{ yards per inch}.
   \]

2. **Find the actual width**:
   Since the width of the drawing is 5 inches, and the scale factor is 40 yards per inch, the actual width is:
   \[
   \text{Actual width} = 5 \times 40 = 200 \text{ yards}.
   \]

3. **Calculate the area**:
   The area of a rectangle is given by the formula:
   \[
   \text{Area} = \text{Length} \times \text{Width}.
   \]
   Substituting the actual dimensions:
   \[
   \text{Area} = 280 \times 200 = 56,000 \text{ square yards}.
   \]

Thus, the area of the actual park is **56,000 square yards**.

The correct answer is the last option: **56,000**.

Would you like further details or have any questions?

### Related Questions:
1. What if the drawing had been scaled at 6 inches instead of 7? How would that affect the scale factor?
2. How do you convert from square inches to square yards?
3. If the park was not rectangular, how would you approach finding the area of the actual park?
4. How would the problem change if the width and length units were given in feet?
5. What is the scale ratio, and how does it help in solving real-life applications like this?

### Tip:
When working with scale drawings, always ensure both dimensions (length and width) are scaled using the same factor to maintain proportionality.

A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area of the actual park, in square yards?

Learn how to calculate the area of a rectangular park using a scale drawing where the length is 280 yards and the drawing measures 5 inches by 7 inches. This problem covers key mathematical concepts such as scale factors and calculating the area of a rectangle. Suitable for students in Grades 7-9.

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