The area of a triangle is 108. If the height is reduced to one-fourth its original length and the base is quadrupled, what is the new area(1 point)
The new area of the triangle can be calculated by using the formula for the area of a triangle:
Area = 1/2 * base * height
Let the original base be b and the original height be h.
Given that the original area is 108:
108 = 1/2 * b * h
216 = b * h
After the height is reduced to one-fourth its original length and the base is quadrupled, we have the new base as 4b and the new height as h/4.
The new area can be calculated as:
New Area = 1/2 * 4b * h/4
New Area = 1/2 * b * h
New Area = 1/2 * 216
New Area = 108
Therefore, the new area of the triangle is 108.