The area of a square is $196 \, cm^2$. Its side is half the radius of a circle. The circumference of the circle is equal to the breadth of a rectangle. If the perimeter of the rectangle is $712 \, cm$,what is the length of the rectangle? (in $cm$)

The area of the shaded region within the square $ABCD$ is . . . . . . $cm^2$. (Assume the side of the square is $28 \ cm$ and it contains four identical circles).

$A$ playground has the shape of a rectangle with two semi-circles on its smaller sides as diameters,added outside. If the sides of the rectangle are $36 \, m$ and $24.5 \, m$,then the area of the playground is ......... $m^2$ (use $\pi = \frac{22}{7}$).

In a right-angled triangle,find the hypotenuse if the base and perpendicular are respectively $36015 \ cm$ and $48020 \ cm$.

In the given figure,$ABCD$ is a square. $EFGH$ is a square formed by joining the midpoints of the sides of $ABCD$. $LMNO$ is a square formed by joining the midpoints of the sides of $EFGH$. $A$ circle is inscribed inside $LMNO$. If the area of the circle is $38.5 \text{ cm}^2$,then what is the area (in $\text{cm}^2$) of square $ABCD$?

Three metal cubes with edges $6\, cm$,$8\, cm$,and $10\, cm$ respectively are melted together and formed into a single cube. Find the side of the resulting cube (in $cm$).