The length of a rectangle is thrice its breadth and its perimeter is $96 \, m$. The area of the rectangle is......$m^2$

An equilateral triangle,a square,and a circle have equal perimeters. If $T$ denotes the area of the triangle,$S$ the area of the square,and $C$ the area of the circle,then

One of the diagonals of a rhombus is double the other diagonal. Its area is $25\, cm^{2}$. The sum of the diagonals is.......$cm$

$A$ rope,by which a horse is tied,is increased from $12 \ m$ to $23 \ m$. How much additional ground will it be able to graze? (in $m^2$)

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 rectangular plot is thrice of its breadth. If the area of the rectangular plot is $7803 \ m^2$,what is the breadth of the rectangular plot? (in $m$)