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
The area would not change
27
1/4
4
Since area of a triangle is calculated using the formula A = 0.5 * base * height, we can calculate the new area by substituting the new values for base and height:
Original area = 108
New height = 1/4 * original height
New base = 4 * original base
New area = 0.5 * (4 * original base) * (1/4 * original height)
New area = 0.5 * original base * original height
Therefore, the new area would be 0.5 * 108 = 54.
So, the new area would be 54.