The initial area of the triangle is \frac{1}{2} * base * height = \frac{1}{2} * 6 * 5 = 15 m^{2}
Multiplying the base and height by 4, we get \frac{1}{2} * 24 * 20 = 240
\frac{240}{15} = 16
So the area of the triangle is 16 times larger than the initial triangle.