A triangle has a base of (3x + 7) and a height of (5x - 1). A second triangle is drawn with a base that is tripled and a height that is
doubled. Find the difference between the area of the original triangle
and the area of the new triangle.

The difference between the area of the original triangle and the area of the new triangle is .

Step-by-step explanation:

The equation for the area of a triangle () is:

Where:

- Base, dimensionless.

- Height, dimensionless.

The expression for each triangle are described below:

First Triangle (, )

Second Triangle (, )

The difference between the area of the original triangle and the area of the new triangle is:

The difference between the area of the original triangle and the area of the new triangle is .