Area of Squares

Q.

If the area of the square $169c{m}^2$, then the length of its side is

1. 13cm

2. 23cm

3. 33cm

4. 43cm

Q.

A square is a polygon.

1. False

2. True

Q.

The area of a square is $400c{m}^2.$ The length of its side is$:$

1. $10cm$

2. $20cm$

3. $30cm$

4. $15cm$

Q.

Find the area of the square of side 15 cm.

1. $115c{m}^2$

2. $225c{m}^2$

3. $125c{m}^2$

4. $215c{m}^2$

Q.

Find the area of the square of side 5cm .

1. 5 $c{m}^2$

2. 25 $c{m}^2$

3. 28 $c{m}^2$

4. 30 $c{m}^2$

Q.

Find the area of the square whose sides are : $3\text{cm}$

Q.

Find the area of a square whose side is $13m$.

Q. In a square given below, each angles measure ${90}^{\circ }$. State whether the statement is true or false.

1. True
2. False

Q.

Find the area of the square whose side is : $120\text{mm}$

Q.

For a triangle ABC, which of the following is/are true?

1. $A{B}^2+B{C}^2=A{C}^2$
2. $AB+BC>AC$
3. $AB-AC<BC$.
4. $AB+BC=AC$

Q. Find the area of WXYZ from the figure given below provided that E, F, G, H are the respective mid points.

1. $Ar\left(WXYZ\right)=\frac{1}{5}Ar\left(ABCD\right)$
2. $Ar\left(WXYZ\right)=\frac{1}{2}Ar\left[AEW\right]+\frac{1}{2}Ar\left[FXD\right]+\frac{1}{2}Ar\left[GYC\right]+\frac{1}{2}Ar\left[BHZ\right]$
3. $Ar\left[WXYZ\right]=\frac{1}{2}Ar\left[ABCD\right]$
4. $Ar\left(WXYZ\right)=\frac{1}{4}Ar\left(ABCD\right)$

Q.

The difference of any two sides of a triangle is always _______ than the third side.

1. Greater

2. Lesser

3. Equal

4. Not sure

Q.

In the given figure, ABCD is a field in the form of a quadrilateral whose sides are indicated. If $\angle DAB={90}^{\circ }$ and $\angle ADC={90}^{\circ }$, then find the area of the field.

1. $307m^2$
2. $306m^2$
3. $310m^2$
4. $300m^2$

Q.

Choose the options which tell us about the properties of a square

1. Closed figure

2. Four internal angles

3. Open figure

4. Five internal angles

Q.

Find the area of the square of side 16 cm.

1. $256c{m}^2$

2. $265c{m}^2$

3. $625c{m}^2$

4. $652c{m}^2$

Q.

Difference of two sides of a triangle is always $\_\_\_\_\_\_\_$ than the third side.

1. Greater

2. Lesser

3. Equal

4. Not sure

Q. If a quadrilateral has all its angles equal to ${90}^{\circ },$ then it is necessarily a square.

1. False
2. True

Q.

For any triangle ABC, which of the following is/are FALSE ?

1. - =

2. AB – AC = BC

3. $AB-AC<BC$

4. $AB+BC=AC$

Q.

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

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

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

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

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

4. 1-c ; 2-e ; 3- d

Q.

If the area of the square $289c{m}^2$, then length of its side is

1. $15cm$

2. $16cm$

3. $17cm$

4. $18cm$

Q. ABCD is a quadrilateral. Is AB + BC + CD + DA < 2 (AC + BD)?

Q. Match the length of the sides of the squares with their respective areas.

1. 144 $c{m}^2$
2. 256 $c{m}^2$
3. 225 $c{m}^2$
4. 81 $c{m}^2$

Q. The sides of a triangle (in cm) are given below:

1. 8, 7, 3
2. 8, 6, 4
3. 8, 4, 4
4. 7, 6, 5

Q.

The side of a square is _ cm. Its area is $121cm2.$

Q.

If the side of the square is x = 6 cm. then find the area of the square.

1. 36$c{m}^2$

2. 6$c{m}^2$

3. 18 cm²

4. 8$c{m}^2$

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-c ; 2-a ; 3-d

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

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

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

Q. Given, ABCD is a square; the sides
AD = 5 cm
AP = 1 cm
CR = 1 cm
Find the area of $\Delta PQR$.

1. 7.5

Q. Match the given images with their respective areas of the shaded centre square.

1. 20 sq.cm
2. 24.2 sq.cm
3. 7.2 sq.cm

Q.

Given, ABCD is a square; the sides
AD = 5 cm
AP = 1 cm
CR = 1 cm
Find the area of $\Delta PQR$

1. $2c{m}^2$

2. $7c{m}^2$

3. $7.5c{m}^2$

4. $8c{m}^2$

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-a ; 3-d

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

4. 1-c ; 2-e ; 3- d