The lengths of the two parallel sides of a trapezium are $16 \ m$ and $20 \ m$ respectively. If its height is $10 \ m$,its area in square metres is:

The area of an equilateral triangle is $9 \sqrt{3} \ m^{2}$. The length (in $m$) of the median is

The perimeter of a right-angled triangle is $90\, cm$ and its hypotenuse is $39\, cm$. Find its other sides.

The length of a rectangular room is $4\, m.$ If it can be partitioned into two equal square rooms,what is the length of the partition in metres?

Two sides of a triangular field are $85 \, m$ and $154 \, m$,respectively,and its perimeter is $324 \, m$. The cost of ploughing the field at the rate of ₹ $10$ per $m^2$ is (in ₹):

The ratio of the corresponding sides of two similar triangles is $3:4$. The ratio of their areas is