Area

Observe the shapes $1, 2, 3$ and $4$ in the figures. Which of the following statements is not correct?

Study the given figure (not drawn to scale) carefully and select the correct option.

(i) Perimeter of the complete figure is $198 \mathrm{cm}$.

(ii) Total area of figure II and III is $4 {\mathrm{cm}}^2$ less than the total area of figure I and IV

Match the following.

Match the shaded area

The perimeter of a square sheet is same as a rectangular sheet. If the side of the square sheet is $30 cm$ and the length of the rectangular sheet is $45 cm$, then area of the rectangular sheet is

The length of a rectangle is $12 m$ and the length of its diagonal is $15 m$. Find the area of the rectangle.

A wire in the form of a rectangle $23.4 cm$ long and $19.7 cm$ wide is reshaped and bent into a square. Find the area of the square formed.

A rectangular piece of paper was folded to form the shape shown. What was the area of the piece of paper before it was folded?

In a square garden of side $3.5 m$, four flower beds were laid out as shown. The remaining area of the garden is $7.25 m^2$. If all the flower beds are of the same size, find the length of each if the breadth of each flower bed is $50 cm$.

If the length and the width of a rectangle are each doubled, by what percent is the area increased?

A rectangular room can be partitioned into two equal square rooms by a partition $7 metres$ long. What is the area of the rectangular room in square metres?

The figure is made up of two identical rectangles. Find the area of the shaded part:

The area of a square field is $36 m^2$. A path of uniform width is laid around and outside of it. If the area of the path is $28 m^2$, find the width of the path in meters.

$ABCD$ is a rectangle (not drawn to scale) having length $30 \mathrm{cm}$ and breadth $25 \mathrm{cm}$. $P, Q, R$ and $S$ are midpoints of $AB, BC, CD$ and $AD$ respectively. Find the area of the shaded region of the figure.

The area of a square and a rectangle are equal. If the side of the square is $50 \mathrm{cm}$ and the breadth of the rectangle is $30 \mathrm{cm}$. Find:

(i) Length of the rectangle

(ii) Perimeter of the rectangle

In the given figure (not drawn to scale), $ABCD$ is a rectangle. $ED=16 \mathrm{cm}, FG=FC=8 \mathrm{cm}, BF=20 \mathrm{cm}$ and $FG$ is perpendicular to $BC$. If $CD$ is half of $AD$, then find the area of the shaded region (in ${\mathrm{cm}}^2$).

Calculate the area of shaded region in the given figure, where all of the short line segments are at right angles to each other and $1 \mathrm{cm}$ long.

Four sheets of $50 \mathrm{cm}\times 5 \mathrm{cm}$ are to be arranged in such a manner that a square could be formed. What will be the area of inner part of the square so formed?

The area of a rectangular ground is $120 m^2$ and its length is $12 m$. Find its breadth.

Find the length of the rectangle whose area is $120 c{m}^2$And breadth is $6 cm$.