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Find the length of the rectangular black board whose perimeter is $6 \mathrm{m}$ and the breadth is $1 \mathrm{m}$.

Which costs more - fencing a square field of side $25 \mathrm{m}$, or fencing a rectangular field of dimensions $15 \mathrm{m}$ by $12 \mathrm{m}$? The cost of fencing is $₹20$ per meter.

A carpenter wants to fix a steel frame on the four sides of the top of a table. If the length and breadth of the table are $2 \mathrm{m}$ and $1.5 \mathrm{m}$, respectively, find the length of the steel frame required. Also find the cost of steel frame at $₹780 \mathrm{per} \mathrm{metre}$.

A picture frame measuring $30 \mathrm{cm}$ by $21 \mathrm{cm}$ has a picture placed in its centre, leaving a uniform border of $2 \mathrm{cm}$ around it. Find the perimeter of the picture.

Find the cost of fencing a square plot of side $12 \mathrm{m}$ at the rate of $₹ 15$ per metre.

Find the side of a square shaped postal stamp of perimeter $8 \mathrm{cm}$.

Find the value of $\mathrm{x}$ for the following figure.

Find the side of the equilateral triangle of perimeter $129 \mathrm{cm}$.