Answer :
To find the area of a trapezoid, you generally use the formula for the area of a trapezoid, which is:
[tex]\[ \text{Area} = \frac{1}{2} \times (\text{base}_1 + \text{base}_2) \times \text{height} \][/tex]
However, in this particular problem, the specific lengths of the bases and height are not provided. Therefore, we need to consider the multiple-choice answers given and find the most plausible area of the trapezoid yard from the options provided.
Given the choices, the areas are:
1. \( 225 \, \text{yd}^2 \)
2. \( 450 \, \text{yd}^2 \)
3. \( 1,386 \, \text{yd}^2 \)
4. \( 2,772 \, \text{yd}^2 \)
These choices indicate that one of these values is correct.
Since we cannot compute the specific value without additional details, we conclude that the various possible areas we might consider for the yard, given the problem constraints, are:
[tex]\[ \boxed{225 \, \text{yd}^2, 450 \, \text{yd}^2, 1,386 \, \text{yd}^2, 2,772 \, \text{yd}^2} \][/tex]
[tex]\[ \text{Area} = \frac{1}{2} \times (\text{base}_1 + \text{base}_2) \times \text{height} \][/tex]
However, in this particular problem, the specific lengths of the bases and height are not provided. Therefore, we need to consider the multiple-choice answers given and find the most plausible area of the trapezoid yard from the options provided.
Given the choices, the areas are:
1. \( 225 \, \text{yd}^2 \)
2. \( 450 \, \text{yd}^2 \)
3. \( 1,386 \, \text{yd}^2 \)
4. \( 2,772 \, \text{yd}^2 \)
These choices indicate that one of these values is correct.
Since we cannot compute the specific value without additional details, we conclude that the various possible areas we might consider for the yard, given the problem constraints, are:
[tex]\[ \boxed{225 \, \text{yd}^2, 450 \, \text{yd}^2, 1,386 \, \text{yd}^2, 2,772 \, \text{yd}^2} \][/tex]
