Effect on area of rt angled triangle if base is increased and hight reduced

If the base of a Right angled triangle is increased 4 times and height is reduced to half, what will be the effect on its area ?

Solution:

let h be the height of the triangle and b be the base as shown below:

Area of the above triangle, A = (b * h)/2

If height is increased 4 times and base is reduced to half then

new height = 4h
new base = b/2

new area  = ((b/2) * (4h) )/2
= 2 * ( (b*h)/2) = 2.A

Hence, the area becomes double.