https://file.aiquickdraw.com/mathbot/file/1727383309606e1dz699n.jpg

To solve the problem of finding the area of the shaded region, we follow these steps:

### Step 1: Find the area of the outer rectangle
- The dimensions of the outer rectangle are given as 25 yards (width) and 28 yards (height).
- The area of a rectangle is calculated by multiplying the width and height.
  \[
  \text{Area of outer rectangle} = 25 \, \text{yd} \times 28 \, \text{yd} = 700 \, \text{square yards}
  \]

### Step 2: Find the area of the inner rectangle
- The dimensions of the inner rectangle are given as 16 yards (width) and 21 yards (height).
- The area of the inner rectangle is:
  \[
  \text{Area of inner rectangle} = 16 \, \text{yd} \times 21 \, \text{yd} = 336 \, \text{square yards}
  \]

### Step 3: Find the area of the shaded region
- The shaded region is the area of the outer rectangle minus the area of the inner rectangle.
  \[
  \text{Area of shaded region} = 700 \, \text{square yards} - 336 \, \text{square yards} = 364 \, \text{square yards}
  \]

Thus, the area of the shaded region is **364 square yards**.

Do you have any questions or need further details?

Here are some related questions:
1. How do we calculate the area of more complex polygons?
2. How does the area change if the dimensions of the inner rectangle change?
3. What if the shapes were not rectangles but irregular polygons?
4. How can we calculate the perimeter of the shaded region?
5. How would the result change if the units were different (e.g., meters)?

**Tip**: Always remember to double-check the dimensions of both shapes to ensure accuracy in the final area calculation.

What is the area of the shaded region? Given a larger rectangle of dimensions 25 yards by 28 yards and a smaller inner rectangle of dimensions 16 yards by 21 yards, find the area of the shaded region outside the inner rectangle but within the outer rectangle.

Learn how to find the area of a shaded region between two rectangles. This problem involves calculating the area of an outer rectangle (25 yards by 28 yards) and subtracting the area of an inner rectangle (16 yards by 21 yards) to get a final shaded area of 364 square yards. Perfect for students in Grades 6-8.

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