Final answer:
The area of the right triangle is 100 square meters.
Step-by-step explanation:
To find the area of a triangle, we can use the formula A = 1/2 * base * height. In this case, the height is given as 10 meters and the length of the base is twice the height, which means the base is 2 * 10 = 20 meters. Plugging these values into the formula, we get A = 1/2 * 20 * 10 = 100 square meters. Therefore, the area of the right triangle is 100 square meters.