To find the area of a trapezoid, you can use the formula:
[tex]\[ \text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height} \][/tex]
Given the measurements:
- Base 1 ([tex]\( \text{Base}_1 \)[/tex]) = 8 yards
- Base 2 ([tex]\( \text{Base}_2 \)[/tex]) = 11 yards
- Height = 6 yards
Here’s the step-by-step solution:
1. Add the lengths of the two bases:
[tex]\[ \text{Base}_1 + \text{Base}_2 = 8 + 11 = 19 \][/tex]
2. Multiply the sum of the bases by the height:
[tex]\[ 19 \times 6 = 114 \][/tex]
3. Finally, divide the product by 2 to get the area of the trapezoid:
[tex]\[ \text{Area} = \frac{114}{2} = 57 \][/tex]
Therefore, the area of the trapezoid is [tex]\( 57 \)[/tex] square yards.
