Area of a Square

Q.

Find the area of the square whose sides is $2m50cm$.

Q. A square of side 6 cm and a rectangle of breadth 4 cm have the same area. The length of the rectangle is .

1. 12 cm
2. 4 cm
3. 6 cm
4. 9 cm

Q. A square lawn is surrounded by a path 2 m wide. If the area of the path is 240 meter square, find the area of the lawn.

Q.

Area of a square of side $12m$ is

1. $150m^2$

2. $144m^2$

3. $169m^{2^{}}$

4. $175m^2$

Q.

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

Q.

ABCD is a rectangle having length 30 cm and breadth 25 cm. P, Q, R and S are midpoints of AB, BC, CD and AD respectively. What is the area of the shaded part?

1. $375m^2$

2. $375c{m}^2$

3. $475c{m}^2$

4. $425c{m}^2$

Q.

Karan wants to cover the floor of his room with lavish tiles. The floor of his room is in the shape of a square with sides measuring 6 m. The shopkeeper told him that the area of each tile is 0.5 m². How many tiles should Karan buy?

1. 108

2. 36

3. 72

4. 144

Q.

A path of 1.5 m wide is built along the border inside a square garden of side 10 m. Area of the path is ___ $m^2$.

1. 100

2. 64

3. 51

4. 49

Q.

The area of a square is 16 cm². What will be the area of a rectangle whose length is double the side of the square and width is half of the side of the square?

1. 16 cm²

2. 20 cm²

3. 24 cm²

4. 36 cm²

Q. How many square tiles with side 5m are required to cover the base of a rectangular swimming pool of length 500 m and width 130 m?

1. 2500
2. 2600
3. 2000
4. 2400

Q. Two squares of side $9cm$ attached together.Find the perimeter of the resulting figure.

Q. The cost of painting the circle is ₹30 per sq. ft. Calculate the total price of painting the circle of given diameter 9 ft. (round off to 2 decimal places)
$\text{[Take 𝛑=}\frac{22}{7}]$

1. ₹7637.1
2. ₹3818.5
3. ₹2545.8
4. ₹1909.2

Q.

Renuka has a square plot as shown in the figure. She wants to construct a house in the middle of the plot and develop a garden around the house. The total cost of developing a garden around the house at the rate of ₹ 55 per $m^2$ is

1. ₹18500

2. ₹ 16400

3. ₹17500

4. ₹17875

Q.

Area of the given figure is:

1. 41 sq. units

2. 42 sq. units

3. 24 sq. units

4. 40 sq. units

Q. There is a square plot of side $13m$. A farmer wants to grow grass on half of his field and plough the remaining land. Find the area of the land used for growing grass.

1. $169m^2$
2. $84.5m^2$
3. $52m^2$
4. $89m^2$

Q.

A park is in the form of a square. Find the total area of the park if one of the sides measures 5 m.

1. 25 m²

2. 55 m²

3. 20 m²

4. 10 m²

Q. Which of the following statements is true about the figures given below?

1. The shaded area of Shape $1$ is greater than the shaded area of Shape $2$.
2. The shaded area of Shape $2$ is approximately equal to the shaded area of Shape $1$.
3. The shaded area of Shape $1$ is equal to the shaded area of Shape $2$.
4. The shaded area of Shape $2$ is greater than the shaded area of Shape $1$.

Q. The figure given below is made of squares. The area of each square in the figure is 4 cm². Find the perimeter of the whole figure.

Q. A circle is inscribed in a square as shown. If the radius of the circle is 4 cm, what is the area of the remaining square? (Use $\pi =\frac{22}{7}$)

1. $14c{m}^2$
2. $13.63c{m}^2$
3. $13.72c{m}^2$
4. $14.28c{m}^2$

Q. What will happen to the area of a square if its side is

(i) Tripled
(ii) increased by half of it.

Q. Each side of a square field is 70 m70 cm. How much distance will a boy walk in order make one complete round of this field?

Q. A square is formed by joining five small squares of area equal to 80 sq. cm each. Find the perimeter of the bigger square.

Q. Each side of a square field is $70m$. How much distance will a boy walk in order make?
$8$ complete round of this field?

Q. In the following figure, find the area of the shaded portion.

Q. On increasing each side of a square by 25% , the increase in area will be

(a) 25%
(b) 55%
(c) 40.5%
(d) 56.25%