Question

PLEASE HELP: A triangle has an area of 6 ft^2. The triangle is dilated by a scale factor of 3 to produce a new triangle. What is the area of the new triangle?

Answer 1

The area of the new triangle is 2/3 ft^2

Explanation:

Mathematically, the area of a triangle is

A = 1/2 * b * h

Now let’s say the base length is 4 ft and the height is 3 ft.

Using these measurements will give an area equal to 6 ft^2

Now, let’s dilate base length by a factor of 3. The new base length will become 4/3 ft

Let’s dilate the height by a factor of 3, the new height will become 3/3 = 1 ft

The new area will thus become;

A = 1/2 * 4/3 * 1

A = 2/3 ft^2