If the perimeter of an isosceles right triangle is $(6+3 \sqrt{2}) \text{ m}$,then the area of the triangle is ... $\text{m}^2$.

If a regular hexagon is inscribed in a circle of radius $r,$ then its perimeter is........$r$.

The dimensions of the floor of a rectangular hall are $4\, m \times 3\, m$. The floor of the hall is to be tiled fully with $8\, cm \times 6\, cm$ rectangular tiles without breaking the tiles into smaller sizes. The number of tiles required is:

$A$ wire,when bent in the form of a square,encloses a region of area $121 \, cm^2$. If the same wire is bent into the form of a circle,then the area of the circle is ........ $cm^2$. (Use $\pi = \frac{22}{7}$)

$A$ rectangular carpet has an area of $120 \, m^{2}$ and a perimeter of $46 \, m$. The length of its diagonal is ...... $m$.

Three sides of a triangular field are $20\, m$,$21\, m$,and $29\, m$ long,respectively. The area of the field is.......$m^2$.