A triangle has an area of 36 cm². The base and height are scaled by a factor of 5.

What is the area of the resulting triangle?

Triangle Area =.5 * (base * height)

36 = (base * height) / 2

So let's say base = 9 height 8

If base and height are scaled by a factor if 5 than

base = 45 height 40 and

area =.5 * (45 * 40)

area = 900

Basically, the area increases by a factor of 25.

The base increases by 5 and the height increases by 5 so the area increases by 5*5 = 25