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?
• The area would not change.
•1/4
•27
•4
1/4
Explanation:
When the height is reduced to 1/4 of its original length and the base is quadrupled, the new area of the triangle will be 1/4 of the original area.
Let the original area of the triangle be A. So, A = 108.
When the height is reduced to 1/4 of its original length and the base is quadrupled, the new area can be calculated as:
New Area = (1/4)(4)*(108/4) = 27
Therefore, the new area of the triangle is 27.