Scroll:Everyday Arithmetic >> ratio,proportion,direct variation >> saq (4525)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

 The length and breadth of a rectangle are in the ratio 3 : 7 .  If the breadth  is 75 cm, find the length

cm


Answer:_______________




2)  

 The length and breadth of a rectangle are in the ratio 3 : 6 .  If the breadth  is 68 cm, find the length

cm


Answer:_______________




3)  

 The length and breadth of a rectangle are in the ratio 2 : 6 .  If the breadth  is 95 cm, find the length

cm


Answer:_______________




4)  

 The length and breadth of a rectangle are in the ratio 3 : 8 .  If the breadth  is 57 cm, find the length

cm


Answer:_______________




5)  

 The length and breadth of a rectangle are in the ratio 4 : 5 .  If the breadth  is 53 cm, find the length

cm


Answer:_______________




6)  

 The length and breadth of a rectangle are in the ratio 2 : 8 .  If the breadth  is 86 cm, find the length

cm


Answer:_______________




7)  

 The length and breadth of a rectangle are in the ratio 4 : 7 .  If the breadth  is 96 cm, find the length

cm


Answer:_______________




8)  

 The length and breadth of a rectangle are in the ratio 3 : 6 .  If the breadth  is 50 cm, find the length

cm


Answer:_______________




9)  

 The length and breadth of a rectangle are in the ratio 2 : 6 .  If the breadth  is 56 cm, find the length

cm


Answer:_______________




10)  

 The length and breadth of a rectangle are in the ratio 3 : 5 .  If the breadth  is 54 cm, find the length

cm


Answer:_______________




 

1)  

 The length and breadth of a rectangle are in the ratio 3 : 7 .  If the breadth  is 75 cm, find the length

Answer: 32 cm


SOLUTION 1 :

Given  :

Breadth   =  75 cm

The ratio of length to  breadth is 3 : 7

Breadth   = 7 parts

7 parts  =  75 cm

1 part  =   757

             =10.7142857143 cm

Length   =  3 parts

3 parts   =  3 x 10.7142857143

                    = 32 cm

Length of the rectangle   =   32 cm



2)  

 The length and breadth of a rectangle are in the ratio 3 : 6 .  If the breadth  is 68 cm, find the length

Answer: 34 cm


SOLUTION 1 :

Given  :

Breadth   =  68 cm

The ratio of length to  breadth is 3 : 6

Breadth   = 6 parts

6 parts  =  68 cm

1 part  =   686

             =11.3333333333 cm

Length   =  3 parts

3 parts   =  3 x 11.3333333333

                    = 34 cm

Length of the rectangle   =   34 cm



3)  

 The length and breadth of a rectangle are in the ratio 2 : 6 .  If the breadth  is 95 cm, find the length

Answer: 32 cm


SOLUTION 1 :

Given  :

Breadth   =  95 cm

The ratio of length to  breadth is 2 : 6

Breadth   = 6 parts

6 parts  =  95 cm

1 part  =   956

             =15.8333333333 cm

Length   =  2 parts

2 parts   =  2 x 15.8333333333

                    = 32 cm

Length of the rectangle   =   32 cm



4)  

 The length and breadth of a rectangle are in the ratio 3 : 8 .  If the breadth  is 57 cm, find the length

Answer: 21 cm


SOLUTION 1 :

Given  :

Breadth   =  57 cm

The ratio of length to  breadth is 3 : 8

Breadth   = 8 parts

8 parts  =  57 cm

1 part  =   578

             =7.125 cm

Length   =  3 parts

3 parts   =  3 x 7.125

                    = 21 cm

Length of the rectangle   =   21 cm



5)  

 The length and breadth of a rectangle are in the ratio 4 : 5 .  If the breadth  is 53 cm, find the length

Answer: 42 cm


SOLUTION 1 :

Given  :

Breadth   =  53 cm

The ratio of length to  breadth is 4 : 5

Breadth   = 5 parts

5 parts  =  53 cm

1 part  =   535

             =10.6 cm

Length   =  4 parts

4 parts   =  4 x 10.6

                    = 42 cm

Length of the rectangle   =   42 cm



6)  

 The length and breadth of a rectangle are in the ratio 2 : 8 .  If the breadth  is 86 cm, find the length

Answer: 22 cm


SOLUTION 1 :

Given  :

Breadth   =  86 cm

The ratio of length to  breadth is 2 : 8

Breadth   = 8 parts

8 parts  =  86 cm

1 part  =   868

             =10.75 cm

Length   =  2 parts

2 parts   =  2 x 10.75

                    = 22 cm

Length of the rectangle   =   22 cm



7)  

 The length and breadth of a rectangle are in the ratio 4 : 7 .  If the breadth  is 96 cm, find the length

Answer: 55 cm


SOLUTION 1 :

Given  :

Breadth   =  96 cm

The ratio of length to  breadth is 4 : 7

Breadth   = 7 parts

7 parts  =  96 cm

1 part  =   967

             =13.7142857143 cm

Length   =  4 parts

4 parts   =  4 x 13.7142857143

                    = 55 cm

Length of the rectangle   =   55 cm



8)  

 The length and breadth of a rectangle are in the ratio 3 : 6 .  If the breadth  is 50 cm, find the length

Answer: 25 cm


SOLUTION 1 :

Given  :

Breadth   =  50 cm

The ratio of length to  breadth is 3 : 6

Breadth   = 6 parts

6 parts  =  50 cm

1 part  =   506

             =8.33333333333 cm

Length   =  3 parts

3 parts   =  3 x 8.33333333333

                    = 25 cm

Length of the rectangle   =   25 cm



9)  

 The length and breadth of a rectangle are in the ratio 2 : 6 .  If the breadth  is 56 cm, find the length

Answer: 19 cm


SOLUTION 1 :

Given  :

Breadth   =  56 cm

The ratio of length to  breadth is 2 : 6

Breadth   = 6 parts

6 parts  =  56 cm

1 part  =   566

             =9.33333333333 cm

Length   =  2 parts

2 parts   =  2 x 9.33333333333

                    = 19 cm

Length of the rectangle   =   19 cm



10)  

 The length and breadth of a rectangle are in the ratio 3 : 5 .  If the breadth  is 54 cm, find the length

Answer: 32 cm


SOLUTION 1 :

Given  :

Breadth   =  54 cm

The ratio of length to  breadth is 3 : 5

Breadth   = 5 parts

5 parts  =  54 cm

1 part  =   545

             =10.8 cm

Length   =  3 parts

3 parts   =  3 x 10.8

                    = 32 cm

Length of the rectangle   =   32 cm