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AMC 12/AHSME
1966 AMC 12/AHSME
2
Area Ratios
Area Ratios
Source:
March 9, 2006
geometry
ratio
percent
Problem Statement
When the base of a triangle is increased
10
%
10\%
10%
and the altitude to this base is decreased
10
%
10\%
10%
, the change in area is
(A)
1
%
increase
(B)
1
2
%
increase
(C)
0
%
(D)
1
2
%
decrease
(E)
1
%
decrease
\text{(A)} \ 1\%~ \text{increase} \qquad \text{(B)} \ \frac12 \%~ \text{increase} \qquad \text{(C)} \ 0\% \qquad \text{(D)} \ \frac12 \% ~\text{decrease} \qquad \text{(E)} \ 1\% ~\text{decrease}
(A)
1%
increase
(B)
2
1
%
increase
(C)
0%
(D)
2
1
%
decrease
(E)
1%
decrease
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