Area of a Square

Q. Question 9
Find the area of the shaded region in figure.

Q.

Question 46

Length of a side of a square and its area vary directly with each other.

Q.

A park is in the form of a square of side 15m. . Find the total area of the park

1. $155m^2$

2. $225m^2$

3. $15m^2$

4. $255m^2$

Q.

What is the area of the shaded region in the figure, if it is given that the side of square ABCD is 90 m and the side of square PQRS is 100 m?

1. $1000m^2$

2. $2000m^2$

3. $1900m^2$

4. $2500m^2$

Q. Question 27

$12m^2$ is the area of

(a) a square with side 12 m
(b) 12 squares with side 1 m each
(c) 3 squares with side 4 m each
(d) 4 squares with side 3 m each

Q. Question 4
The area of an equilateral triangle with side $2\sqrt{3}cm$ is

Q.

A 2 m wide path is built along the border and inside a square garden of side 11 m. The area of the path is_____.

1. $73m^2$

2. $77m^2$

3. $72m^2$

4. $75m^2$

Q.

A kite in the shape of a square with each diagonal 32cm and having a tail in the shape of an isosceles triangle of base 8cm and each side 6cm, is made of three different shades as shown in the figure. How much paper of each shade has been used in it? [Given $\sqrt{5}=2.24$ ]

1. $Area\left(\Delta ABD\right)=256c{m}^2,Area\left(\Delta BCD\right)=256c{m}^2,Area\left(\Delta CEF\right)=17.92c{m}^2$

2. $Area\left(\Delta ABD\right)=256c{m}^2,Area\left(\Delta BCD\right)=256c{m}^2,Area\left(\Delta CEF\right)=18c{m}^2$

3. $Area\left(\Delta ABD\right)=258c{m}^2,Area\left(\Delta BCD\right)=258c{m}^2,Area\left(\Delta CEF\right)=17.92c{m}^2$

4. None of these.

Q.

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

1. ₹.17500

2. ₹ 16400

3. ₹.17875

4. ₹.18500

Q.

Question 7
A kite in the shape of a square with a diagonal 32cm and an isosceles triangles of base 8cm and sides 6cm each is to be made of three different shades as shown in the given figure. How much paper of each shade has been used in it?

Q.

Each side of a square field is$28m$. Find the:

(i) Perimeter of the square.

(ii) Cost of fencing the field at the rate of $20$ $RsperMeter$

Q.

Find the area of an equilateral triangle whose side is $4$ cm.

1. $9$ sq. cm

2. $6\sqrt{3}$ sq. cm

3. $5\sqrt{3}$ sq. cm

4. $4\sqrt{3}$ sq. cm

Q.

A square whose area is 64 $c{m}^2$ has to be fenced . Find the total cost of fencing if the rate of fencing is ₹ 2 per metre.

1. ₹ 108

2. ₹ 64

3. ₹ 128

4. ₹ 32

Q.

How do I find a base of the triangle if I am given the area ($48$ square inches) and the height which is $16$ inches?

Q.

There is a square park in the society of side $7m$. What is the cost of laying bricks in the field at Rs. $10/m^2.$

1. 470

2. 440

3. 490

4. 500

Q.

What will be the ratio of the areas of squares, when the diagonal of one square is double the other?

1. $1:3$

2. $1:2$

3. $1:5$

4. $1:4$

Q.

If the edge length of a square is 10 units, the area of the square is ___ square units.

Q.

The length of a rectangular wooden board is thrice its width. If the area of the board is 192 $c{m}^2$, find the cost of framing it at the rate of ₹.5 for 20 cm.

1. ₹. 16

2. ₹. 20

3. ₹. 22

4. ₹ 10

Q. Construct a $△$ $PQR$, such that $\angle$ Q=${70}^o$, $\angle R={70}^o$ and $PQ+QR+RP$ $=10$ cm.

Q.

$\begin{array}{cc}ColumnA& ColumnB\\ 1.\text{Area}& a.67m\\ 2.\text{Perimeter}& b.Rs.6/m^2\\ 3.\text{Cost per}{m}^2& c.100m^2\\ & d.Rs.6m^2\\ & e.100/m^2\end{array}$

Which of the following options show the correct match of parameters in column A with possible values in column B?

1. 1-d ; 2-a ; 3-b

2. 1-c ; 2-e ; 3- d

3. 1-c ; 2-a ; 3-d

4. 1-c ; 2-a ; 3- b

Q. A kite in the shape of a square with a diagonal 32 cm and an isosceles triangle of base 8 cm and sides 6 cm each is to be made of three different shades as shown in figure. How much paper of each shade has been used in it?

Q.

There is a square park in the society .₹. ___ is the cost of laying grass in the field at ₹ 10 per $m^2$. The length of each side is 7 m.

1. ₹. 480

2. ₹. 490

3. ₹. 550

4. ₹. 500

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___$m^2$.

Q. If the area of an equilateral triangle is $36\sqrt{3}c{m}^2$, then the length of the side of the triangle is .

1. 12 $cm$
2. 24 $cm$
3. 6 $cm$

Q.

2 m wide path is built along the border and inside a square garden of side 11 m. The area of the path is_____ $m^2$.

1. 72

2. 73

3. 77

4. 75

Q. The area of an equilateral triangle of side $\text{8 cm}$ is ${cm}^2$.

1. $6\sqrt{3}$
2. $16\sqrt{3}$
3. $16\sqrt{5}$

Q.

Find the cost of fencing a square park of side $250\text{m}$ at the rate of $₹20$ per meter.

Q.

What is the area of an equilateral triangle whose side is 8 cm?

1. $16\sqrt{3}$ $c{m}^2$

2. $16c{m}^2$

3. $\sqrt{3}$ $c{m}^2$

4. $32c{m}^2$

Q. $4^{2m}={\left(\sqrt{8}\right)}^2$

Q.

What is the area of an equilateral triangle whose side is $\text{8 cm}$?

1. $16\sqrt{3}{cm}^2$

2. $16{cm}^2$

3. $6\sqrt{3}{cm}^2$

4. $16\sqrt{5}{cm}^2$