Answer:
The area would not change.
Step-by-step explanation:
The original area of the triangle is 108. When the height is reduced to one-fourth its original length, the ratio of the new height to the original height is 1/4. When the base is quadrupled, the ratio of the new base to the original base is 4.
The area of a triangle is calculated using the formula: 1/2 * base * height.
Therefore, new area = 1/2 * (4 * base) * (1/4 * height)
= 1/2 * (4) * (1/4) * base * height
= 1/2 * base * height
Since the base and height are multiplied by the same value, the new area would be the same as the original area, which is 108.
Therefore, the correct answer is: The area would not change.
