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:

In $\Delta ABC$ and $\Delta PQR$,$\angle B = \angle Q$ and $\angle C = \angle R$. $M$ is the mid-point of side $QR$. If $AB : PQ = 7 : 4$,then $\frac{\text{area}(\Delta ABC)}{\text{area}(\Delta PMR)}$ 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 $cm$)

In the adjacent figure,find the area of the shaded region in $cm^2$. (Use $\pi = 22/7$)

The length of a rectangular hall is $5\, m$ more than its breadth. The area of the hall is $750\, m^{2}$. The length of the hall is.........$m$

$A$ ladder is resting with one end in contact with the top of a wall of height $12\, m$ and the other end on the ground is at a distance $5\, m$ from the wall. The length of the ladder is.....$m$