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 4 : 8 .  If the breadth  is 92 cm, find the length

cm


Answer:_______________




2)  

 The length and breadth of a rectangle are in the ratio 2 : 7 .  If the breadth  is 66 cm, find the length

cm


Answer:_______________




3)  

 The length and breadth of a rectangle are in the ratio 4 : 6 .  If the breadth  is 79 cm, find the length

cm


Answer:_______________




4)  

 The length and breadth of a rectangle are in the ratio 3 : 6 .  If the breadth  is 59 cm, find the length

cm


Answer:_______________




5)  

 The length and breadth of a rectangle are in the ratio 3 : 5 .  If the breadth  is 77 cm, find the length

cm


Answer:_______________




6)  

 The length and breadth of a rectangle are in the ratio 3 : 6 .  If the breadth  is 82 cm, find the length

cm


Answer:_______________




7)  

 The length and breadth of a rectangle are in the ratio 3 : 8 .  If the breadth  is 97 cm, find the length

cm


Answer:_______________




8)  

 The length and breadth of a rectangle are in the ratio 2 : 8 .  If the breadth  is 76 cm, find the length

cm


Answer:_______________




9)  

 The length and breadth of a rectangle are in the ratio 4 : 5 .  If the breadth  is 61 cm, find the length

cm


Answer:_______________




10)  

 The length and breadth of a rectangle are in the ratio 2 : 7 .  If the breadth  is 88 cm, find the length

cm


Answer:_______________




 

1)  

 The length and breadth of a rectangle are in the ratio 4 : 8 .  If the breadth  is 92 cm, find the length

Answer: 46 cm


SOLUTION 1 :

Given  :

Breadth   =  92 cm

The ratio of length to  breadth is 4 : 8

Breadth   = 8 parts

8 parts  =  92 cm

1 part  =   928

             =11.5 cm

Length   =  4 parts

4 parts   =  4 x 11.5

                    = 46 cm

Length of the rectangle   =   46 cm



2)  

 The length and breadth of a rectangle are in the ratio 2 : 7 .  If the breadth  is 66 cm, find the length

Answer: 19 cm


SOLUTION 1 :

Given  :

Breadth   =  66 cm

The ratio of length to  breadth is 2 : 7

Breadth   = 7 parts

7 parts  =  66 cm

1 part  =   667

             =9.42857142857 cm

Length   =  2 parts

2 parts   =  2 x 9.42857142857

                    = 19 cm

Length of the rectangle   =   19 cm



3)  

 The length and breadth of a rectangle are in the ratio 4 : 6 .  If the breadth  is 79 cm, find the length

Answer: 53 cm


SOLUTION 1 :

Given  :

Breadth   =  79 cm

The ratio of length to  breadth is 4 : 6

Breadth   = 6 parts

6 parts  =  79 cm

1 part  =   796

             =13.1666666667 cm

Length   =  4 parts

4 parts   =  4 x 13.1666666667

                    = 53 cm

Length of the rectangle   =   53 cm



4)  

 The length and breadth of a rectangle are in the ratio 3 : 6 .  If the breadth  is 59 cm, find the length

Answer: 30 cm


SOLUTION 1 :

Given  :

Breadth   =  59 cm

The ratio of length to  breadth is 3 : 6

Breadth   = 6 parts

6 parts  =  59 cm

1 part  =   596

             =9.83333333333 cm

Length   =  3 parts

3 parts   =  3 x 9.83333333333

                    = 30 cm

Length of the rectangle   =   30 cm



5)  

 The length and breadth of a rectangle are in the ratio 3 : 5 .  If the breadth  is 77 cm, find the length

Answer: 46 cm


SOLUTION 1 :

Given  :

Breadth   =  77 cm

The ratio of length to  breadth is 3 : 5

Breadth   = 5 parts

5 parts  =  77 cm

1 part  =   775

             =15.4 cm

Length   =  3 parts

3 parts   =  3 x 15.4

                    = 46 cm

Length of the rectangle   =   46 cm



6)  

 The length and breadth of a rectangle are in the ratio 3 : 6 .  If the breadth  is 82 cm, find the length

Answer: 41 cm


SOLUTION 1 :

Given  :

Breadth   =  82 cm

The ratio of length to  breadth is 3 : 6

Breadth   = 6 parts

6 parts  =  82 cm

1 part  =   826

             =13.6666666667 cm

Length   =  3 parts

3 parts   =  3 x 13.6666666667

                    = 41 cm

Length of the rectangle   =   41 cm



7)  

 The length and breadth of a rectangle are in the ratio 3 : 8 .  If the breadth  is 97 cm, find the length

Answer: 36 cm


SOLUTION 1 :

Given  :

Breadth   =  97 cm

The ratio of length to  breadth is 3 : 8

Breadth   = 8 parts

8 parts  =  97 cm

1 part  =   978

             =12.125 cm

Length   =  3 parts

3 parts   =  3 x 12.125

                    = 36 cm

Length of the rectangle   =   36 cm



8)  

 The length and breadth of a rectangle are in the ratio 2 : 8 .  If the breadth  is 76 cm, find the length

Answer: 19 cm


SOLUTION 1 :

Given  :

Breadth   =  76 cm

The ratio of length to  breadth is 2 : 8

Breadth   = 8 parts

8 parts  =  76 cm

1 part  =   768

             =9.5 cm

Length   =  2 parts

2 parts   =  2 x 9.5

                    = 19 cm

Length of the rectangle   =   19 cm



9)  

 The length and breadth of a rectangle are in the ratio 4 : 5 .  If the breadth  is 61 cm, find the length

Answer: 49 cm


SOLUTION 1 :

Given  :

Breadth   =  61 cm

The ratio of length to  breadth is 4 : 5

Breadth   = 5 parts

5 parts  =  61 cm

1 part  =   615

             =12.2 cm

Length   =  4 parts

4 parts   =  4 x 12.2

                    = 49 cm

Length of the rectangle   =   49 cm



10)  

 The length and breadth of a rectangle are in the ratio 2 : 7 .  If the breadth  is 88 cm, find the length

Answer: 25 cm


SOLUTION 1 :

Given  :

Breadth   =  88 cm

The ratio of length to  breadth is 2 : 7

Breadth   = 7 parts

7 parts  =  88 cm

1 part  =   887

             =12.5714285714 cm

Length   =  2 parts

2 parts   =  2 x 12.5714285714

                    = 25 cm

Length of the rectangle   =   25 cm