Answer:To find the area of the shaded region in the given model, we need to determine the area of the entire square yard and subtract the area of the unshaded region.
The model shows that the length of each side of the square yard is 4 yards. Therefore, the area of the entire square yard is:
Area = (side length)^2 = (4 yards)^2 = 16 square yards
Next, we need to find the area of the unshaded region. The unshaded region is a triangular shape with a base of 2 yards and a height of 12/13 yards.
To calculate the area of a triangle, we use the formula:
Area = (base * height) / 2
Substituting the given values into the formula, we have:
Area = (2 yards * (12/13) yards) / 2 = (24/13) square yards
Finally, we can find the area of the shaded region by subtracting the area of the unshaded region from the area of the entire square yard:
Shaded Area = Area of entire square yard - Area of unshaded region = 16 square yards - (24/13) square yards
To subtract the fractions, we need a common denominator:
Shaded Area = (208/13 - 24/13) square yards = 184/13 square yards
Therefore, the area of the shaded region is 184/13 square yards.
Explanation: