MathDB
Area Ratios

Source:

March 9, 2006
geometryratiopercent

Problem Statement

When the base of a triangle is increased 10%10\% and the altitude to this base is decreased 10%10\%, the change in area is (A) 1% increase(B) 12% increase(C) 0%(D) 12% 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}