The cross-section of a tunnel perpendicular to its length is a trapezium $\mathrm{ABCD}$ as shown in the figure $\mathrm{AM}=\mathrm{BN}; \mathrm{AB}=4.4 \mathrm{m}; \mathrm{CD}=3 \mathrm{m}$. The height of the tunnel is $2.4 \mathrm{m}$. The tunnel is $50 \mathrm{m}$ long.

Calculate the cost of painting the internal surface of the tunnel (excluding the floor) at the rate of $₹5 \mathrm{per} {\mathrm{m}}^2.$

The cross-section of a tunnel perpendicular to its length is a trapezium $\mathrm{ABCD}$ as shown in the figure $\mathrm{AM}=\mathrm{BN}, \mathrm{AB}=4.4 \mathrm{m}, \mathrm{CD}=3 \mathrm{m}$. The height of the tunnel is $2.4 \mathrm{m}$. The tunnel is $50 \mathrm{m}$ long.

Calculate the cost of paving the floor (in$₹$)at the rate of $₹18 \mathrm{per} {\mathrm{m}}^2$.

What is the area of an equilateral triangle having altitude equal to $2\sqrt{3} \mathrm{cm}$ ?

The altitude of an equilateral triangle is $\sqrt{3} \mathrm{cm}$. What is its perimeter?

The sides of a triangle are in the ratio$2: 3: 4$. The perimeter of the triangle is $18 \mathrm{cm}$. The area $(\mathrm{in} {\mathrm{cm}}^2)$ of the triangle is

A parallelogram has sides $15 \mathrm{cm}$ and $7 \mathrm{cm}$ long. The length of one of the diagonals is $20 \mathrm{cm}$. The area of the parallelogram is

The perimeters of two squares are $68 \mathrm{cm}$ and $60 \mathrm{cm}$. The perimeter of a third square whose area is equal to the difference of the areas of the two squares.