Olympiad/HOTS corner

Find the area of the given figure.

Five square flower beds each of side $1.2 \mathrm{m}$ are dug on a piece of land $4.8 \mathrm{m}$ long and $4.2 \mathrm{m}$ wide. What is the area of the remaining part of land?

Find the perimeter of the given figure.

The cost of making a fence around a square field is $₹392$ at the rate of $₹14$ per metre. What is the length of each side of the field?

$PQRS$ is a rectangle. When the length and breadth of the rectangle increases, the rectangle is enlarged to $VWRT$ and the area of the rectangle is increased by $226 {\mathrm{cm}}^2$. If the length of rectangle $PQRS$ is twice its breadth. Find
(i) Perimeter of rectangle $PQRS$.
(ii) Area of rectangle $VWRT$.

$ABCD$ and $PQRS$ are two squares of same dimensions. Find the area of shaded part.

Figure $P$ is made up of six identical squares. Two squares were removed from figure $P$ to form figure $Q$. The perimeter of figure $P$ is $240 \mathrm{cm}$. What is the perimeter of figure $Q$?

The given figure is made up of $10$ squares of the same size. The perimeter of the figure is $80 \mathrm{cm}$. Find the area of the figure.