$ABCD$ is a trapezium with $AD$ and $BC$ as parallel sides. $E$ is a point on $BC$. The ratio of the area of $ABCD$ to that of $\Delta AED$ is

If the base of a parallelogram is $(x+4)$,the altitude to the base is $(x-3)$,and the area is $(x^{2}-4)$,then the actual area is equal to (in $Sq\, units$)

$A$ man walked diagonally across a square plot. Approximately what was the percent saved by not walking along the edges?

In the given figure,$ABCD$ is a square of side $14 \ cm$. $E$ and $F$ are mid-points of sides $AB$ and $DC$ respectively. $EPF$ is a semicircle whose diameter is $EF$. $LMNO$ is a square. What is the area (in $cm^2$) of the shaded region?

The length of a rectangle is increased by $33.33 \%$. By what percent should the width be decreased to maintain the same area? (in $\%$)

The length of a rectangle is $2 \, cm$ more than its breadth. The perimeter is $48 \, cm$. The area of the rectangle (in $cm^2$) is?