The area of a triangle is 132 square units. What would its new area be if its base was half as long and its height was three times as long?
The area of a triangle can be calculated using the formula:
Area = 1/2 * base * height
Let the original base be b and the original height be h. Then, the original area is:
132 = 1/2 * b * h
If the base is halved and the height is tripled, the new base will be b/2 and the new height will be 3h. The new area can be calculated as:
New area = 1/2 * (b/2) * (3h)
New area = 1/4 * b * 3h
New area = 3/4 * (1/2 * b * h) = 3/4 * 132 = 99
Therefore, the new area of the triangle would be 99 square units.