Final answer:
The area of the right triangle ABD is found by using the formula 1/2 × base × height, with BC as the height and AB as the base. This gives an area of 24 sq. m, which corresponds to answer option c.
Step-by-step explanation:
To find the area of the right triangle ABD, we need to use the formula for the area of a right triangle, which is 1/2 × base × height. In the question, it is given that BC measures 12 m, which can be considered the height (h), and AB measures 4 m, which can be considered the base (b). Using the formula:
Area = 1/2 × b × h = 1/2 × (4 m) × (12 m) = 2 m × 12 m = 24 sq. m.
Therefore, the correct answer is option c, which states that the area is 24 sq. m.