Jharne De and Ranjana Kumar Solutions for Chapter: Perimeter and Area, Exercise 2: Multiple-Choice Questions

The perimeter of a square is $64 \mathrm{cm}$. If the area of the square is $k {\mathrm{cm}}^2$, find $k$.

The length and breadth of a rectangular field are $50 \mathrm{m}$ and $40 \mathrm{m}$, respectively. If its area is $k {\mathrm{m}}^2$, find $k$.

If the area of a right-angled triangle with base $15 \mathrm{cm}$ and altitude $8 \mathrm{cm}$ is $\mathrm{k} {\mathrm{cm}}^2$, then find $\mathrm{k}$.

$\mathrm{ABCD}$ is a parallelogram. $\mathrm{BX}$ is the perpendicular on $\mathrm{CD}$ and $\mathrm{BY}$ is the perpendicular on $\mathrm{AD}$. If the area of the parallelogram is $1500{\mathrm{cm}}^2$, find the lengths of $\mathrm{BX}$ and $\mathrm{BY}$.

In quadrilateral $\mathrm{ABCD}$, $\mathrm{BC}$ is the diagonal, $\mathrm{DO}$ is perpendicular to $\mathrm{BC}$, and $\mathrm{CX}$ is perpendicular to $\mathrm{AB}$. If $\mathrm{AB}=25\mathrm{cm},\mathrm{BC}=16\mathrm{cm},\mathrm{CX}=8\mathrm{cm},\mathrm{DO}=5\mathrm{cm}$, find the area of the quadrilateral.

$\mathrm{ABCD}$ is a rectangle in which $\mathrm{AB}=30\mathrm{cm}$ and $\mathrm{AD}=20\mathrm{cm}$. $\mathrm{P}$ is the midpoint of $\mathrm{AD}$, $\mathrm{Q}$ is the midpoint of $\mathrm{AB}$, $\mathrm{R}$ is the midpoint of $\mathrm{BC}$, and $\mathrm{S}$ is the midpoint of $\mathrm{CD}$. If the area of the region $PQRS$ is $3k {\mathrm{cm}}^2$, find $k$.

Find the area of the shaded region.

A verandah of width $4.5\mathrm{m}$ is constructed along a room outside it. If the dimensions of the room are $18.5\mathrm{mX}14\mathrm{m}$, find:
 Area of the verandah and the cost of paving tiles in the verandah at the rate of $20$ per ${\mathrm{m}}^2$.