Area

The cost of laying grass in a rectangular park at the rate of $₹10$ per $\mathrm{sq}.\mathrm{m}.$ is $₹4800$. Find the cost of constructing its boundary at the rate of $₹800$ per $\mathrm{m}$ if the park is $20 \mathrm{m}$ wide.

What happens to the area of the rectangle if the length is doubled and breadth remains the same?

If the area of a square is given in ${\mathrm{km}}^2$, by what factor should it be multiplied to convert it into ${\mathrm{m}}^2$?

What happens to the area of a square, if its side is doubled?

Find the area of the shaded region in square units

Five square flower beds each of side $1 m$ are dug on a piece of land $5 m$ long and $4 m$ wide. What is the area of the remaining part of the land?

A magazine charges $₹300$ per $10 \mathrm{sq}.\mathrm{cm}$ area for advertising. A company decided to order a half-page advertisement. If each page of the magazines is $15 \mathrm{cm}\times 24 \mathrm{cm}$, what amount will the company has to pay for it?

What is the length of outer boundary of the park shown in the figure? What will be the total cost of fencing it at the rate of $₹20$ per metre? There is a rectangular flower bed in the center of the park. Find the cost of manuring the flower bed at the rate of $₹50$ per square metre.

A floor is $5 \mathrm{m}$ long and $4 \mathrm{m}$ wide. A square carpet of sides $3 \mathrm{m}$ is laid on the floor. If the area of the floor that is not carpeted is $k {\mathrm{m}}^2$, find $k$. 

A room is $4 m$ long and $3 m 50 cm$ wide. How many square metres of carpet is needed to cover the floor of the room?

Inside a rectangular park of dimension $60 \mathrm{m}$ by $40 \mathrm{m}$, a path $2 \mathrm{m}$ wide is built in the middle, one along the length and other along the breadth. The area of the remaining part of the park is $\mathrm{k} {\mathrm{m}}^2$. Find the value of $\mathrm{k}$.

How can you show that the area of square $\mathrm{A}$is less than the area of square $\mathrm{B}$without measuring the sides?

[Hint: Use tracing paper]

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Draw (if possible) a polygon inside an equilateral triangle such that the area of the polygon is greater than that of the equilateral triangle.

A road $100$ $\mathrm{m}$ long and $20 \mathrm{m}$ wide is to be paved with bricks, each measuring $25 \mathrm{cm}$ by $10 \mathrm{cm}$. Find the number of bricks required.

A room is $5 \mathrm{m}$ $10 \mathrm{cm}$ long and $4 \mathrm{m} 90 \mathrm{cm}$ wide. How much carpet is required to cover the room? The cost of the carpet, if $1 \mathrm{sq}.\mathrm{m}$ of carpet costs $₹600$ is $₹\mathrm{k}$. Find the value of $\mathrm{k}$.

The number of tiles required to cover a wall is $\frac{\mathrm{Area} \mathrm{of} \mathrm{tile}}{\mathrm{Area} \mathrm{of} \mathrm{wall}}$.

Cost of levelling a rectangular plot is obtained by multiplying area of the rectangle with per unit cost of levelling.

If a square lies inside a rectangle, then area of the square is less than the rectangle.

If the area of a rectangle and a square are equal, then perimeter of the rectangle is less than that of the square.

Two congruent figures (that is figures having same size and shape) have equal areas.