Inside a rectangular park of dimension $60 \mathrm{m}$ by $40 \mathrm{m}$, a path $2 \mathrm{m}$ wide is built in the middle, one along the length and other along the breadth. The area of the remaining part of the park is $\mathrm{k} {\mathrm{m}}^2$. Find the value of $\mathrm{k}$.

Draw (if possible) a polygon inside an equilateral triangle such that the area of the polygon is greater than that of the equilateral triangle.

Draw (if possible) a polygon inside an equilateral triangle such that the perimeter of the polygon is greater than that of the equilateral triangle.

The length of a rectangular playground having perimeter $600 \mathrm{m}$ and breadth $90 \mathrm{m}$ is $k \mathrm{m}$, find $k$.

Avneet buys $9$square paving slabs, each with a side of $\frac{1}{2}$ $\mathrm{m}$. He lays them in the form of a square. Shari does not like his arrangement. She gets him to lay them out like a cross. If the perimeter of her arrangement is $A \mathrm{m}$, then find the value of $A$.

Avneet buys $9$ square paving slabs, each with a side of $\frac{1}{2}$ $\mathrm{m}$. He lays them in the form of a square. Shari does not like his arrangement. She gets him to lay them out like a cross. Which has greater perimeter?