The cost of laying grass in a rectangular park at the rate of $₹10$ per $\mathrm{sq}.\mathrm{m}.$ is $₹4800$. Find the cost of constructing its boundary at the rate of $₹800$ per $\mathrm{m}$ if the park is $20 \mathrm{m}$ wide.

How can you show that the area of square $\mathrm{A}$is less than the area of square $\mathrm{B}$without measuring the sides?

[Hint: Use tracing paper]

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Find the area of the shaded region in square units

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 $k$.