HKD1710 wrote:

If the altitude of a triangle increases by 6% and the base of the triangle increases by 8%, by what percent will the area of the triangle increase?

A) 6%

B) 8%

C) 7.24%

D) 14.48%

E) 48%

Let's assume base 100 and height 100

So, area will be 0.5 * 100 * 100 ---(1)

Now with 6% increase in height and 8 % in base

New area 0.5* (100+6)*(100+8)=(100*100+100*8+100*6+6*8) ---(2)

percentage increase = (2)-(1)/(1) *100 = (100*8+100*6+6*8) *100 /(100*100) =14.48%

In general if the is x% increase in a and y % increase in b then overall % increase in ab will be (x+y+(xy)/100)

Kudos please if you find useful