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09. MENSURATION

290221 Following figures are formed by joining six unit squares. Which figure has the smallest perimeter in Fig.?
2

1 (ii)

2 (iii)

3 (iv)

4 (i)

09. MENSURATION

290222 Mark the correct alternative in the following question:
The area of the shaded path in the following figure is:

1 16m

^{1}

2 18m

^{1}

3 14m

^{1}

4 20m

^{1}

Explanation:

18m $^{1}$
Area of the region = Area of the rectangle + Area of the isosceles right angled triangle
$= length \times breadth + \frac{1}{2} \times base \times height$
$= 8 \times 2 + \frac{1}{2} \times 2 \times 2$
$= 16 + 2$
$= 18 m^{2}$

09. MENSURATION

290223 In a rectangle, the difference between the sum of the adjacent sides and the diagonal is half of the longer side. what is the ratio of the shorter side to the longer side?

1

\sqrt{3} : \sqrt{2}

2

1 : \sqrt{3}

3 2 : 5

4 3 : 4

09. MENSURATION

290224 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): Area of a rectangle = Length + Breadth
Reason (R): The amount of surface enclosed by a closed figure is called its area

1 Both A and R are true and R is the correct explanation of A

2 Both A and R are true but R is not the correct explanation of A

3 A is true but R is false

4 A is false but R is true

09. MENSURATION

290221 Following figures are formed by joining six unit squares. Which figure has the smallest perimeter in Fig.?
2

1 (ii)

2 (iii)

3 (iv)

4 (i)

09. MENSURATION

290222 Mark the correct alternative in the following question:
The area of the shaded path in the following figure is:

1 16m

^{1}

2 18m

^{1}

3 14m

^{1}

4 20m

^{1}

Explanation:

18m $^{1}$
Area of the region = Area of the rectangle + Area of the isosceles right angled triangle
$= length \times breadth + \frac{1}{2} \times base \times height$
$= 8 \times 2 + \frac{1}{2} \times 2 \times 2$
$= 16 + 2$
$= 18 m^{2}$

09. MENSURATION

290223 In a rectangle, the difference between the sum of the adjacent sides and the diagonal is half of the longer side. what is the ratio of the shorter side to the longer side?

1

\sqrt{3} : \sqrt{2}

2

1 : \sqrt{3}

3 2 : 5

4 3 : 4

09. MENSURATION

290224 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): Area of a rectangle = Length + Breadth
Reason (R): The amount of surface enclosed by a closed figure is called its area

1 Both A and R are true and R is the correct explanation of A

2 Both A and R are true but R is not the correct explanation of A

3 A is true but R is false

4 A is false but R is true

09. MENSURATION

290221 Following figures are formed by joining six unit squares. Which figure has the smallest perimeter in Fig.?
2

1 (ii)

2 (iii)

3 (iv)

4 (i)

09. MENSURATION

290222 Mark the correct alternative in the following question:
The area of the shaded path in the following figure is:

1 16m

^{1}

2 18m

^{1}

3 14m

^{1}

4 20m

^{1}

Explanation:

18m $^{1}$
Area of the region = Area of the rectangle + Area of the isosceles right angled triangle
$= length \times breadth + \frac{1}{2} \times base \times height$
$= 8 \times 2 + \frac{1}{2} \times 2 \times 2$
$= 16 + 2$
$= 18 m^{2}$

09. MENSURATION

290223 In a rectangle, the difference between the sum of the adjacent sides and the diagonal is half of the longer side. what is the ratio of the shorter side to the longer side?

1

\sqrt{3} : \sqrt{2}

2

1 : \sqrt{3}

3 2 : 5

4 3 : 4

09. MENSURATION

290224 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): Area of a rectangle = Length + Breadth
Reason (R): The amount of surface enclosed by a closed figure is called its area

1 Both A and R are true and R is the correct explanation of A

2 Both A and R are true but R is not the correct explanation of A

3 A is true but R is false

4 A is false but R is true

09. MENSURATION

290221 Following figures are formed by joining six unit squares. Which figure has the smallest perimeter in Fig.?
2

1 (ii)

2 (iii)

3 (iv)

4 (i)

09. MENSURATION

290222 Mark the correct alternative in the following question:
The area of the shaded path in the following figure is:

1 16m

^{1}

2 18m

^{1}

3 14m

^{1}

4 20m

^{1}

Explanation:

18m $^{1}$
Area of the region = Area of the rectangle + Area of the isosceles right angled triangle
$= length \times breadth + \frac{1}{2} \times base \times height$
$= 8 \times 2 + \frac{1}{2} \times 2 \times 2$
$= 16 + 2$
$= 18 m^{2}$

09. MENSURATION

290223 In a rectangle, the difference between the sum of the adjacent sides and the diagonal is half of the longer side. what is the ratio of the shorter side to the longer side?

1

\sqrt{3} : \sqrt{2}

2

1 : \sqrt{3}

3 2 : 5

4 3 : 4

09. MENSURATION

290224 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): Area of a rectangle = Length + Breadth
Reason (R): The amount of surface enclosed by a closed figure is called its area

1 Both A and R are true and R is the correct explanation of A

2 Both A and R are true but R is not the correct explanation of A

3 A is true but R is false

4 A is false but R is true