GRE Math Practice: This GRE quantitative comparison question tests your understanding of percent changes and area of right triangles.

**Question#72**: In right triangle $ABC$, the length of the height is increased by $25\%$ and the length of the base is decreased by $25\%$ to create a new right triangle $DEF$.

$\begin{array}{c c c c c c}

& \underline{\textrm{Quantity A}} & & & & \underline{\textrm{Quantity B}} \\

& & & & & \\

& \textrm{Area of triangle $ABC$} & & & & \textrm{Area of triangle $DEF$}\\

\end{array}$

- $\quad \textrm{Quantity A is greater.}$
- $\quad \textrm{Quantity B is greater.}$
- $\quad \textrm{The two quantities are equal.}$
- $\quad \textrm{The relationship cannot be determined from the information given.}$

**Video explanation**