Question

Let $ABCD$ be a rectangle and $E$ and $F$ be the points on $CD$ and $BC$ respectively such that area of $\left(△ADE\right)=16$, area $\left(△CEF\right)=9$ and area $\left(△ABC\right)=25$. What is the area of $△AEF$?

• A. $<25$
• B. $>30$
• C. $<32$
• D. $>36$

Answer 1

The correct option is A $<25$

$area\left(△ABC\right)=25sq.units$
$\Rightarrow$ Area of $ABCD=50sq.units$
$area\left(ADE\right)+area\left(△CEF\right)=16+9=25sq.units$
$\therefore area\left(AEFB\right)=25sq.units$
Hence, $area\left(AEF\right)$ must be less than $25sq.units$