A rectangular lawn of length $50 \mathrm{m}$ and breadth $30 \mathrm{m}$ is to be surrounded externally by a path which is $2 \mathrm{m}$ wide. Find the area of the path.

Two crossroads, each $2 \mathrm{m}$ wide, run at right angles, through the centre of a rectangular park of length 64 m and breadth $38 \mathrm{m}$, such that each is parallel to one of the sides of the rectangle. Find the area of the roads. Also, find the area of the remaining part of the park.

A rectangular plot measures $300 \mathrm{m}$ by $200 \mathrm{m}$. A builder builds three roads $10 \mathrm{m}$ wide along the length on either side and one in the middle. He also builds one $10 \mathrm{m}$ wide road in the middle along the breadth. The remaining area is cut into residential plots and sold at the rate of $₹500 \mathrm{per} {\mathrm{m}}^2$. Calculate the total revenue the builder will generate by selling all the plots.

The dimensions of a rectangular park are $35 \mathrm{m} \mathrm{by} 20 \mathrm{m}$. A path of uniform width $2 \mathrm{m}$ is built along the border and inside it. Find the cost of paving the path with bricks at $₹25 \mathrm{per} \mathrm{square} \mathrm{metre}$ and also the cost of covering the remaining part of the plot with grass at $₹19 \mathrm{per} \mathrm{square} \mathrm{metre}$.

A red carpet $12 \mathrm{m}$ long and $1.5 \mathrm{m}$ wide is kept for welcoming foreign dignitaries and heads of state. A $10 \mathrm{cm}$ wide border runs parallel to the lengths on both the edges. Along the width of one edge the border is $25 \mathrm{cm}$ wide and on the other side the boarder is $0.5 \mathrm{m}$ broad with 'WELCOME' inscripted on it. Find the total area of the border.

In the given figure, there is a square of side $14 \mathrm{cm}$. Find the area of the shaded region.

Calculate the area and perimeter of the given figure where the circular parts are semicircles.

Find the area of the shaded portion of the given rectangle.

Calculate the missing measurement for the following trapezium:

$\begin{array}{|cccc|}\hline \mathrm{Parallel} \mathrm{side} 1& \mathrm{Parallel} \mathrm{side} 2& \mathrm{Altitude}& \mathrm{Area}\\ 14 \mathrm{m}& 20 \mathrm{m}& & 136 {\mathrm{m}}^2\\ \hline\end{array}$