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 : 7 .  If the breadth  is 77 cm, find the length

cm


Answer:_______________




2)  

 The length and breadth of a rectangle are in the ratio 2 : 6 .  If the breadth  is 99 cm, find the length

cm


Answer:_______________




3)  

 The length and breadth of a rectangle are in the ratio 4 : 8 .  If the breadth  is 67 cm, find the length

cm


Answer:_______________




4)  

 The length and breadth of a rectangle are in the ratio 3 : 5 .  If the breadth  is 96 cm, find the length

cm


Answer:_______________




5)  

 The length and breadth of a rectangle are in the ratio 3 : 8 .  If the breadth  is 74 cm, find the length

cm


Answer:_______________




6)  

 The length and breadth of a rectangle are in the ratio 2 : 8 .  If the breadth  is 70 cm, find the length

cm


Answer:_______________




7)  

 The length and breadth of a rectangle are in the ratio 4 : 5 .  If the breadth  is 84 cm, find the length

cm


Answer:_______________




8)  

 The length and breadth of a rectangle are in the ratio 2 : 5 .  If the breadth  is 57 cm, find the length

cm


Answer:_______________




9)  

 The length and breadth of a rectangle are in the ratio 3 : 7 .  If the breadth  is 57 cm, find the length

cm


Answer:_______________




10)  

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

cm


Answer:_______________




 

1)  

 The length and breadth of a rectangle are in the ratio 4 : 7 .  If the breadth  is 77 cm, find the length

Answer: 44 cm


SOLUTION 1 :

Given  :

Breadth   =  77 cm

The ratio of length to  breadth is 4 : 7

Breadth   = 7 parts

7 parts  =  77 cm

1 part  =   777

             =11 cm

Length   =  4 parts

4 parts   =  4 x 11

                    = 44 cm

Length of the rectangle   =   44 cm



2)  

 The length and breadth of a rectangle are in the ratio 2 : 6 .  If the breadth  is 99 cm, find the length

Answer: 33 cm


SOLUTION 1 :

Given  :

Breadth   =  99 cm

The ratio of length to  breadth is 2 : 6

Breadth   = 6 parts

6 parts  =  99 cm

1 part  =   996

             =16.5 cm

Length   =  2 parts

2 parts   =  2 x 16.5

                    = 33 cm

Length of the rectangle   =   33 cm



3)  

 The length and breadth of a rectangle are in the ratio 4 : 8 .  If the breadth  is 67 cm, find the length

Answer: 34 cm


SOLUTION 1 :

Given  :

Breadth   =  67 cm

The ratio of length to  breadth is 4 : 8

Breadth   = 8 parts

8 parts  =  67 cm

1 part  =   678

             =8.375 cm

Length   =  4 parts

4 parts   =  4 x 8.375

                    = 34 cm

Length of the rectangle   =   34 cm



4)  

 The length and breadth of a rectangle are in the ratio 3 : 5 .  If the breadth  is 96 cm, find the length

Answer: 58 cm


SOLUTION 1 :

Given  :

Breadth   =  96 cm

The ratio of length to  breadth is 3 : 5

Breadth   = 5 parts

5 parts  =  96 cm

1 part  =   965

             =19.2 cm

Length   =  3 parts

3 parts   =  3 x 19.2

                    = 58 cm

Length of the rectangle   =   58 cm



5)  

 The length and breadth of a rectangle are in the ratio 3 : 8 .  If the breadth  is 74 cm, find the length

Answer: 28 cm


SOLUTION 1 :

Given  :

Breadth   =  74 cm

The ratio of length to  breadth is 3 : 8

Breadth   = 8 parts

8 parts  =  74 cm

1 part  =   748

             =9.25 cm

Length   =  3 parts

3 parts   =  3 x 9.25

                    = 28 cm

Length of the rectangle   =   28 cm



6)  

 The length and breadth of a rectangle are in the ratio 2 : 8 .  If the breadth  is 70 cm, find the length

Answer: 18 cm


SOLUTION 1 :

Given  :

Breadth   =  70 cm

The ratio of length to  breadth is 2 : 8

Breadth   = 8 parts

8 parts  =  70 cm

1 part  =   708

             =8.75 cm

Length   =  2 parts

2 parts   =  2 x 8.75

                    = 18 cm

Length of the rectangle   =   18 cm



7)  

 The length and breadth of a rectangle are in the ratio 4 : 5 .  If the breadth  is 84 cm, find the length

Answer: 67 cm


SOLUTION 1 :

Given  :

Breadth   =  84 cm

The ratio of length to  breadth is 4 : 5

Breadth   = 5 parts

5 parts  =  84 cm

1 part  =   845

             =16.8 cm

Length   =  4 parts

4 parts   =  4 x 16.8

                    = 67 cm

Length of the rectangle   =   67 cm



8)  

 The length and breadth of a rectangle are in the ratio 2 : 5 .  If the breadth  is 57 cm, find the length

Answer: 23 cm


SOLUTION 1 :

Given  :

Breadth   =  57 cm

The ratio of length to  breadth is 2 : 5

Breadth   = 5 parts

5 parts  =  57 cm

1 part  =   575

             =11.4 cm

Length   =  2 parts

2 parts   =  2 x 11.4

                    = 23 cm

Length of the rectangle   =   23 cm



9)  

 The length and breadth of a rectangle are in the ratio 3 : 7 .  If the breadth  is 57 cm, find the length

Answer: 24 cm


SOLUTION 1 :

Given  :

Breadth   =  57 cm

The ratio of length to  breadth is 3 : 7

Breadth   = 7 parts

7 parts  =  57 cm

1 part  =   577

             =8.14285714286 cm

Length   =  3 parts

3 parts   =  3 x 8.14285714286

                    = 24 cm

Length of the rectangle   =   24 cm



10)  

 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