Question

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?

Answer 1

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.