If in a triangle,the area is numerically equal to the perimeter,then the radius of the inscribed circle of the triangle is

$A$ rectangular farm has to be fenced on one long side, one short side, and the diagonal. If the cost of fencing is ₹ $10$ per $m$, the area of the farm is $1200 \ m^2$, and the short side is $30 \ m$ long, how much would the job cost? (in ₹)

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

In $\Delta ABC$,$AD$ and $AE$ are bisectors of $\angle BAC$ and $\angle BAD$ respectively. If $\angle BAE = 30^{\circ}$,$AE = 9 \text{ cm}$,and $EC = 15 \text{ cm}$,what is the area (in $\text{cm}^2$) of $\Delta AEC$?

If the perimeter of a right-angled isosceles triangle is $4 \sqrt{2}+4 \,m ,$ then the hypotenuse is.........$m$

If the length of a rectangle is increased in the ratio $6:7$ and its breadth is diminished in the ratio $5:4$,then its area will be changed in the ratio: