SOLUTION: If the base of a triangle increases by 5% and its corresponding altitude decreases by 5%, by what percent does the area of the triangle change?

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Question 357025: If the base of a triangle increases by 5% and its corresponding altitude decreases by 5%, by what percent does the area of the triangle change?
Answer by ankor@dixie-net.com(15746) About Me  (Show Source):
You can put this solution on YOUR website!
If the base of a triangle increases by 5% and its corresponding altitude decreases by 5%,
by what percent does the area of the triangle change?
:
A1 = .5*b*h
Assume b & h = 1
A1 = .5, original area
:
New b = 1.05; new h = .95
A2 = .5*1.05*.95
A2 = .49875; new area
:
.5 - .49875 = .00125; less area
:
.00125%2F.5 * 100 = .25% reduction in area