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?
:
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/.5}}} * 100 = .25% reduction in area