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?

$A$ rectangular garden $63 \ m$ long and $54 \ m$ broad has a path $3 \ m$ wide inside it. Find the cost of paving the path at $Rs. 37/2$ per square metre (in $Rs.$).

If $D, E$ and $F$ are the mid-points of the sides of an equilateral triangle $ABC,$ then the ratio of the area of triangle $DEF$ and $DCF$ is

Two cubes,each of $10 \, cm$ edge,are joined end-to-end. Then,the surface area of the resulting cuboid is ...... $cm^2$.

The area of the largest circle that can be drawn inside a rectangle with sides $18 \, cm$ and $14 \, cm$ is (in $cm^2$):

The length of a rectangle is $3/5$ of the side of a square. The radius of a circle is equal to the side of the square. The circumference of the circle is $132 \, cm$. What is the area of the rectangle if the breadth of the rectangle is $8 \, cm$? (in $cm^2$)