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)

Answer 1

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.