Area of Square

Q.

The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

1. $60\%$
2. $40\%$
3. $30\%$
4. $50\%$

Q.

Question 2(a)

Find the area of the square whose side is 10 cm.

Q.

If the perimeter of a square is $48cm$, then find the area of the square.

1. $144$ sq cm
2. $225$ sq cm
3. $169$ sq cm
4. $196$ sq cm

Q.

Question 57

The area of each square on a chess board is 4 sq cm. Find the area of the board.

(a) At the beginning of game when all the chess men are put on the board, write area of the squares left unoccupied.

(b) Find the area of the squares occupied by chess men.

Q. Find the perimeter of a square whose area is $64c{m}^2$.

1. 32 cm
2. 12 cm
3. 36 cm
4. 24 cm

Q.

Question 2(c)

Find the area of the square whose side is 5 m.

Q. If area of a square is equal to area of a rectangle whose length and breadth are 9 cm and 4 cm respectively, then find the perimeter of the square.

1. 27 cm
2. 52 cm
3. 12 cm
4. 24 cm

Q. Go round a square
counting every corner
thrice and no more
add the count to me
to get exactly thirty four

Q. Question 20

Circumference of a circular disc is 88 cm. Its radius is

(a) 8 cm
(b) 11 cm
(c) 14 cm
(d) 44 cm

Q.

Find the area of the square whose sides is $8cm$.

Q.

Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given: Area: $35y^2+13y-12$.

Q.

How many tiles whose length and breadth are $12cm$ and $5cm$, respectively will be needed to fit in a rectangular region whose length and breadth are respectively $100cm$ and $144cm$?

Q.

If $x\cos \theta =y\cos \left(\theta +\frac{2\pi }{3}\right)=z\cos \left(\theta +\frac{4\pi }{3}\right)$, then the value of $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}$ is equal to

1. $1$

2. $2$

3. $0$

4. $3\cos \theta$

Q.

The radius of the base of a right circular cone is $21cm$ and its height is $20cm$. Find the curved surface area of the cone.

1. $3300c{m}^2$
2. $1914c{m}^2$
3. $1386c{m}^2$
4. $26720c{m}^2$

Q.

A cylindrical pipe has inner diameter of 7 cm and water flows through it at the rate of 192.5 litres per minute. Find the rate of flow in kilometres per hour.

1. 1

2. 3

3. 6

4. 5

Q. If length of the side of the square is doubled, then area of square increases ______ times.

1. 16
2. 4
3. 8
4. 2

Q.

If each side of a square is doubled, what change will occur in its area?

Q.

Each side of a pentagon is $20$ $\mathrm{inches}$ longer than the previous side. What is the length of the shortest side if the perimeter is $401$ $\mathrm{inches}$?

Q.

Question 53

Perimeter of a square and a rectangle is same. If a side of the square is 15 cm and one side of the rectangle is 18 cm, find the area of the rectangle.

Q.

Question 52

The perimeter of a square garden is 48 m. A small flower bed covers 18 sq m area inside this garden. What is the area of the garden that is not covered by the flower bed? Find the ratio of the area covered by the flower bed and the remaining area.

Q.

Area of square of side 2.5 cm is:

1. 6.25 square cm

2. 0.625 square cm

3. 62.15 square cm

4. 62.5 square cm

Q. The side of a square tile is 10 cm. How many tiles can be fixed on one side of a wall which is 2.5 m long and 2 m high?

1. 100
2. 400
3. 5000
4. 500

Q.

How many rectangles can be drawn with $32cm$ as the perimeter, given that the sides are positive integers in $cm$?

1. $10$
2. $8$
3. $7$
4. $10$

Q. Question 18

Area of a right angled triangle is $30c{m}^2$. If its smallest side is 5 cm, then its hypotenuse is

(a) 14 cm
(b) 13 cm
(c) 12 cm
(d) 11 cm

Q.

Question 59

Find the area and perimeter of each of the following figures, if area of each small square is 1 sq cm.

Q.

Question 49

The side of square is 5 cm. How many times does the area increase, if the side of the square is doubled?

Q.

The length and breadth of a rectangular field are in the ratio $4:5$. If the length is $20m$, find the breadth of the field.

Q. Find the perimeter of the following shape

Q.

If $\frac{x}{\cos \theta }=\frac{y}{\cos \left(\mathrm{\theta }-{\displaystyle \frac{2\mathrm{\pi }}{3}}\right)}=\frac{z}{\cos \left(\mathrm{\theta }+{\displaystyle \frac{2\mathrm{\pi }}{3}}\right)}$, then $x+y+z$ =

1. $1$

2. $0$

3. $-1$

4. None of these

Q. A farmer moves along the boundary of a square field of side $10m$ in $40s$. What will be the magnitude of displacement of the farmer at the end of $2$ minutes $20$ seconds from his initial position?