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