Final answer:
The length of the base of the right triangle, given an area of 24 square meters and height of 4 meters, is calculated using the area formula (Area = 0.5 × base × height) and is found to be 12 meters. Therefore, the correct option is c.
Step-by-step explanation:
To find the length of the base of a right triangle when the area and height are known, you can use the formula for the area of a triangle, which is:
Area = ½ × base × height.
Since the area is given as 24 square meters and the height is 4 meters, we can set up the equation as follows:
24 m² = ½ × base × 4 m.
To find the base, multiply both sides of the equation by 2 and then divide by 4:
base = (24 m² × 2) / 4 m = 48 m² / 4 m = 12 m.
Hence, the length of the base is 12 meters (option c).