To find the area of a trapezoid, you can use the formula for the area of a trapezoid:
[tex]\[ \text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height} \][/tex]
Here are the values you have:
- The first base ([tex]\(\text{Base}_1\)[/tex]) is 7 meters.
- The second base ([tex]\(\text{Base}_2\)[/tex]) is 10 meters.
- The height is 12 meters.
Let's plug these values into the formula and calculate the area step-by-step:
1. First, add the lengths of the two bases:
[tex]\[ \text{Base}_1 + \text{Base}_2 = 7 + 10 = 17 \][/tex]
2. Next, multiply this sum by the height:
[tex]\[ 17 \times 12 = 204 \][/tex]
3. Finally, take half of this product to get the area:
[tex]\[ \frac{1}{2} \times 204 = 102 \][/tex]
Therefore, the area of the trapezoid is:
[tex]\[ 102 \, \text{m}^2 \][/tex]
So, the correct answer is:
[tex]\[ \boxed{102 \, \text{m}^2} \][/tex]
