Perimeter of a Square

Q.

Question 13

Find the cost of fencing a square park of side 250 m at the rate of Rs. 20 per meter.

Q.

Question 3

The side of a square is 10 cm. How many times will the new perimeter become, if the side of the square is doubled?

(a) 2 times

(b) 4 times

(c) 6 times

(d) 8 times

Q.

Question 9

Find the side of the square whose perimeter is 20 m.

Q.

Three squares are joined together as shown in the given figure. Their sides are 4 cm, 10 cm and 3 cm. Find the perimeter of the figure.

Q.

Question 54

A wire is cut into several small pieces. Each of the small pieces is bent into a square of side 2 cm. If the total area of the small squares is 28 sq cm, what was the original length of the wire?

Q.

Question 26

Tahir measured the distance around a square field as 200 rods (lathi). Later he found that the length of this rod was 140 cm. Find the side of this field in metre.

Q. The area of a square field is $576m^2$. Find [4 MARKS]
(i) The length of its sides
(ii) The length of its perimeter
(iii) Cost of fixing a fence along the boundary of the field at the rate of Rs 3.20 per metre.

Q. Find the perimeter of a square whose side length is 3.5 m.

1. $14cm$
2. $28cm$
3. $16cm$
4. $7cm$

Q.

Question 11(a)

A piece of string is 30 cm long. What will be the length of each side if the string is used to form a square?

Q. Find the perimeter of a square having an area of 16 square meters.
meters

Q.

The area of each square in the given figure is 4 cm². The perimeter of the whole figure will be ___ cm.

1. 32

2. 16

3. 8

4. 64

Q.

The side of a square is shown by$l$. Express the perimeter of the square using $l$.

Q. If the length of a square field is 12 cm, then find the perimeter of the field.

1. 48 cm
2. 36 cm
3. 12 cm
4. 56 cm

Q.

Find the perimeter and area of each of the squares whose sides are

$1.2m$

Q. Bhavna runs 10 times around a square field of side 80 m. Her sister Sushmita runs 8 times around a rectangular field with length 150 m and breadth 60 m. Who covers more distance? By how much?

Q. Find the area of a square, whose each side is $7.2cm$.

Q.

The side length of the top of square table is $\mathrm{X}$. The expression for perimeter is-

1. $4+\mathrm{X}$

2. $2\mathrm{X}$

3. $4\mathrm{X}$

4. $8\mathrm{X}$

Q.

Find the area of the rectangles whose adjacent sides are $14cmand23cm$.

Q. If a square has a side length of $a$ units, then its perimeter is equal to:

1. $4a$
2. $4+a$
3. $a^4$
4. $2a$

Q.

The perimeter of a square of side 15 cm is:

1. 900 cm

2. 60 cm

3. 225 cm

4. 34 cm

Q. If a square has a side length $s$ units, then its perimeter will be $4s$ units.

1. False
2. True

Q. Anthony ran 3 rounds of a square ground of side 10 m. Determine the total distance he ran.

1. $30$ m
2. $60$ m
3. $90$ m
4. $120$ m

Q.

A piece of square land has a perimeter equal to 20 m. A cow is standing in the middle of the square land as shown in the figure. What is the minimum distance the cow has to travel in order to go out of the field and drink water?

1. 5 m

2. 2.5 m

3. 4 m

4. 20 m

Q.

The perimeter of the square plot shown in the figure below is 20 m. A cow is standing in the middle of the plot as shown. What is the minimum distance the cow has to walk in order to go out of the plot and drink water?

1. 5 m

2. 2.5 m

3. 4 m

4. 20 m

Q. Among the different arrangements of $8$ unit square crackers, which of the following arrangements will have the least perimeter?

1. $1\times 8$
2. $4\times 2$

Q. If the diagonal of a square is $2\sqrt{2}$ units, then the perimeter of square is:

1. $8\sqrt{2}$ units
2. $8$ units
3. $4$ units
4. $4\sqrt{2}$ units

Q. Two rectangular plots of length 40 m and width 20 m are as shown:

What is the cost of fencing the plots at ₹ 4 per metre?

1. ₹ 16000
2. ₹ 640
3. ₹ 1600
4. ₹ 6400

Q. For the given square $ABCD$, its perimeter is .

1. $20$ sq. units
2. $25$ sq. units
3. $10$ sq. units

Q. The side of a square-shaped mirror is y units. How much of rubber is required to cover it on the four sides?

1. 6y units
2. 4y units
3. 2y units
4. 8y units

Q. Anmol has a chart paper of measure 90 cm $\times$40 cm, whereas Abhishek has one which measures 50 cm $\times$70 cm. Which will cover more area on the table and by how much?
[3 marks]