The area of a triangle is 108. If the height is reduced to 1/4 its original length and the base is quadrupled, what is the new area?
To find the new area of the triangle after these changes, we can use the formula for the area of a triangle:
Area = 1/2 * base * height
Let the original base of the triangle be denoted as b and the original height be denoted as h.
Given that the original area is 108, we have:
108 = 1/2 * b * h
Let the new base be 4b and the new height be 1/4h.
The new area can be calculated as:
NewArea = 1/2 * 4b * 1/4h
NewArea = 1/2 * b * h
NewArea = 1/2 * 108
NewArea = 54
Therefore, the new area of the triangle after the changes is 54.