The length of a rectangular plot is $60\%$ more than its breadth. If the difference between the length and the breadth of that rectangle is $24\, cm$,what is the area of that rectangle? (in $cm^2$)

In an equilateral triangle of side $24 \ cm$,a circle is inscribed touching its sides. The area of the remaining portion of the triangle is (in $cm^2$) $(\sqrt{3} = 1.732)$

$A$ cylindrical container whose diameter is $12\,cm$ and height is $15\,cm$,is filled with ice cream. The whole ice cream is distributed to $10$ children in equal cones having hemispherical tops. If the height of the conical portion is twice the diameter of its base,find the diameter of the ice-cream cone? (in $cm$)

The radius and vertical height of a cone are $5 \text{ cm}$ and $12 \text{ cm}$ respectively. Then its lateral surface area is? (in $\text{cm}^2$)

If the diagonals of a rhombus are $8$ and $6,$ then the square of its side is

The lengths of three medians of a triangle are $9 \, cm$,$12 \, cm$,and $15 \, cm$. The area (in $cm^2$) of the triangle is