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 2 : 8 .  If the breadth  is 85 cm, find the length

cm


Answer:_______________




2)  

 The length and breadth of a rectangle are in the ratio 4 : 6 .  If the breadth  is 73 cm, find the length

cm


Answer:_______________




3)  

 The length and breadth of a rectangle are in the ratio 3 : 8 .  If the breadth  is 79 cm, find the length

cm


Answer:_______________




4)  

 The length and breadth of a rectangle are in the ratio 4 : 5 .  If the breadth  is 51 cm, find the length

cm


Answer:_______________




5)  

 The length and breadth of a rectangle are in the ratio 4 : 5 .  If the breadth  is 88 cm, find the length

cm


Answer:_______________




6)  

 The length and breadth of a rectangle are in the ratio 2 : 7 .  If the breadth  is 61 cm, find the length

cm


Answer:_______________




7)  

 The length and breadth of a rectangle are in the ratio 2 : 6 .  If the breadth  is 100 cm, find the length

cm


Answer:_______________




8)  

 The length and breadth of a rectangle are in the ratio 2 : 5 .  If the breadth  is 82 cm, find the length

cm


Answer:_______________




9)  

 The length and breadth of a rectangle are in the ratio 3 : 5 .  If the breadth  is 83 cm, find the length

cm


Answer:_______________




10)  

 The length and breadth of a rectangle are in the ratio 2 : 7 .  If the breadth  is 65 cm, find the length

cm


Answer:_______________




 

1)  

 The length and breadth of a rectangle are in the ratio 2 : 8 .  If the breadth  is 85 cm, find the length

Answer: 21 cm


SOLUTION 1 :

Given  :

Breadth   =  85 cm

The ratio of length to  breadth is 2 : 8

Breadth   = 8 parts

8 parts  =  85 cm

1 part  =   858

             =10.625 cm

Length   =  2 parts

2 parts   =  2 x 10.625

                    = 21 cm

Length of the rectangle   =   21 cm



2)  

 The length and breadth of a rectangle are in the ratio 4 : 6 .  If the breadth  is 73 cm, find the length

Answer: 49 cm


SOLUTION 1 :

Given  :

Breadth   =  73 cm

The ratio of length to  breadth is 4 : 6

Breadth   = 6 parts

6 parts  =  73 cm

1 part  =   736

             =12.1666666667 cm

Length   =  4 parts

4 parts   =  4 x 12.1666666667

                    = 49 cm

Length of the rectangle   =   49 cm



3)  

 The length and breadth of a rectangle are in the ratio 3 : 8 .  If the breadth  is 79 cm, find the length

Answer: 30 cm


SOLUTION 1 :

Given  :

Breadth   =  79 cm

The ratio of length to  breadth is 3 : 8

Breadth   = 8 parts

8 parts  =  79 cm

1 part  =   798

             =9.875 cm

Length   =  3 parts

3 parts   =  3 x 9.875

                    = 30 cm

Length of the rectangle   =   30 cm



4)  

 The length and breadth of a rectangle are in the ratio 4 : 5 .  If the breadth  is 51 cm, find the length

Answer: 41 cm


SOLUTION 1 :

Given  :

Breadth   =  51 cm

The ratio of length to  breadth is 4 : 5

Breadth   = 5 parts

5 parts  =  51 cm

1 part  =   515

             =10.2 cm

Length   =  4 parts

4 parts   =  4 x 10.2

                    = 41 cm

Length of the rectangle   =   41 cm



5)  

 The length and breadth of a rectangle are in the ratio 4 : 5 .  If the breadth  is 88 cm, find the length

Answer: 70 cm


SOLUTION 1 :

Given  :

Breadth   =  88 cm

The ratio of length to  breadth is 4 : 5

Breadth   = 5 parts

5 parts  =  88 cm

1 part  =   885

             =17.6 cm

Length   =  4 parts

4 parts   =  4 x 17.6

                    = 70 cm

Length of the rectangle   =   70 cm



6)  

 The length and breadth of a rectangle are in the ratio 2 : 7 .  If the breadth  is 61 cm, find the length

Answer: 17 cm


SOLUTION 1 :

Given  :

Breadth   =  61 cm

The ratio of length to  breadth is 2 : 7

Breadth   = 7 parts

7 parts  =  61 cm

1 part  =   617

             =8.71428571429 cm

Length   =  2 parts

2 parts   =  2 x 8.71428571429

                    = 17 cm

Length of the rectangle   =   17 cm



7)  

 The length and breadth of a rectangle are in the ratio 2 : 6 .  If the breadth  is 100 cm, find the length

Answer: 33 cm


SOLUTION 1 :

Given  :

Breadth   =  100 cm

The ratio of length to  breadth is 2 : 6

Breadth   = 6 parts

6 parts  =  100 cm

1 part  =   1006

             =16.6666666667 cm

Length   =  2 parts

2 parts   =  2 x 16.6666666667

                    = 33 cm

Length of the rectangle   =   33 cm



8)  

 The length and breadth of a rectangle are in the ratio 2 : 5 .  If the breadth  is 82 cm, find the length

Answer: 33 cm


SOLUTION 1 :

Given  :

Breadth   =  82 cm

The ratio of length to  breadth is 2 : 5

Breadth   = 5 parts

5 parts  =  82 cm

1 part  =   825

             =16.4 cm

Length   =  2 parts

2 parts   =  2 x 16.4

                    = 33 cm

Length of the rectangle   =   33 cm



9)  

 The length and breadth of a rectangle are in the ratio 3 : 5 .  If the breadth  is 83 cm, find the length

Answer: 50 cm


SOLUTION 1 :

Given  :

Breadth   =  83 cm

The ratio of length to  breadth is 3 : 5

Breadth   = 5 parts

5 parts  =  83 cm

1 part  =   835

             =16.6 cm

Length   =  3 parts

3 parts   =  3 x 16.6

                    = 50 cm

Length of the rectangle   =   50 cm



10)  

 The length and breadth of a rectangle are in the ratio 2 : 7 .  If the breadth  is 65 cm, find the length

Answer: 19 cm


SOLUTION 1 :

Given  :

Breadth   =  65 cm

The ratio of length to  breadth is 2 : 7

Breadth   = 7 parts

7 parts  =  65 cm

1 part  =   657

             =9.28571428571 cm

Length   =  2 parts

2 parts   =  2 x 9.28571428571

                    = 19 cm

Length of the rectangle   =   19 cm