Final answer:
The length of the base of the right triangle is 12 m.
Step-by-step explanation:
To find the length of the base of a right triangle, we can use the formula for the area of a triangle, which is 1/2 × base × height. In this question, the area is given as 24 m² and the height is given as 4 m. We can substitute these values into the formula and solve for the base.
1/2 × base × 4 m = 24 m²
Multiplying both sides by 2 gives us base × 4 m = 48 m².
Then, dividing both sides by 4 m gives us base = 12 m.
Therefore, the length of the base of the right triangle is 12 m.