Each side of a rhombus is $26 \ cm$ and one of its diagonals is $48 \ cm$ long. The area of the rhombus is (in $cm^2$)

$A$ square is inscribed in a circle whose radius is $4\, cm$. The area of the portion between the circle and the square is

If the measures of a diagonal and the area of a rectangle are $25\, cm$ and $168\, cm^2$ respectively,what is the length of the rectangle? (in $cm$)

The length of a rectangle is twice its breadth. If its length is decreased by $5\, cm$ and breadth is increased by $5\, cm$,the area of the rectangle is increased by $75\, cm^2$. Then the length of the rectangle is......$cm$.

The perimeter of an isosceles triangle is $14 \ cm$. The lateral side and the base are in the ratio $5:4$. The area of the triangle in $cm^2$ is:

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 $cm^2$) $(\sqrt{3} = 1.732)$