the area of a triangle is 132 units what would its new area be if its base was half as long an its height was three times as long
The formula for the area of a triangle is A = (1/2) * base * height.
Let's say the original base is B and the original height is H. Using the formula, we have:
132 = (1/2) * B * H
264 = B * H
If the new base is half as long as the original base, it would be B/2. If the new height is three times as long as the original height, it would be 3H.
The new area would be:
A' = (1/2) * (B/2) * (3H)
A' = (1/4) * B * 3H
A' = (1/4) * 264
A' = 66 units
Therefore, the new area of the triangle would be 66 units.