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 : 6 .  If the breadth  is 76 cm, find the length

cm


Answer:_______________




2)  

 The length and breadth of a rectangle are in the ratio 3 : 8 .  If the breadth  is 100 cm, find the length

cm


Answer:_______________




3)  

 The length and breadth of a rectangle are in the ratio 4 : 8 .  If the breadth  is 62 cm, find the length

cm


Answer:_______________




4)  

 The length and breadth of a rectangle are in the ratio 4 : 6 .  If the breadth  is 52 cm, find the length

cm


Answer:_______________




5)  

 The length and breadth of a rectangle are in the ratio 3 : 5 .  If the breadth  is 98 cm, find the length

cm


Answer:_______________




6)  

 The length and breadth of a rectangle are in the ratio 3 : 8 .  If the breadth  is 69 cm, find the length

cm


Answer:_______________




7)  

 The length and breadth of a rectangle are in the ratio 2 : 6 .  If the breadth  is 59 cm, find the length

cm


Answer:_______________




8)  

 The length and breadth of a rectangle are in the ratio 2 : 5 .  If the breadth  is 99 cm, find the length

cm


Answer:_______________




9)  

 The length and breadth of a rectangle are in the ratio 3 : 8 .  If the breadth  is 70 cm, find the length

cm


Answer:_______________




10)  

 The length and breadth of a rectangle are in the ratio 3 : 7 .  If the breadth  is 56 cm, find the length

cm


Answer:_______________




 

1)  

 The length and breadth of a rectangle are in the ratio 2 : 6 .  If the breadth  is 76 cm, find the length

Answer: 25 cm


SOLUTION 1 :

Given  :

Breadth   =  76 cm

The ratio of length to  breadth is 2 : 6

Breadth   = 6 parts

6 parts  =  76 cm

1 part  =   766

             =12.666666666667 cm

Length   =  2 parts

2 parts   =  2 x 12.666666666667

                    = 25 cm

Length of the rectangle   =   25 cm



2)  

 The length and breadth of a rectangle are in the ratio 3 : 8 .  If the breadth  is 100 cm, find the length

Answer: 38 cm


SOLUTION 1 :

Given  :

Breadth   =  100 cm

The ratio of length to  breadth is 3 : 8

Breadth   = 8 parts

8 parts  =  100 cm

1 part  =   1008

             =12.5 cm

Length   =  3 parts

3 parts   =  3 x 12.5

                    = 38 cm

Length of the rectangle   =   38 cm



3)  

 The length and breadth of a rectangle are in the ratio 4 : 8 .  If the breadth  is 62 cm, find the length

Answer: 31 cm


SOLUTION 1 :

Given  :

Breadth   =  62 cm

The ratio of length to  breadth is 4 : 8

Breadth   = 8 parts

8 parts  =  62 cm

1 part  =   628

             =7.75 cm

Length   =  4 parts

4 parts   =  4 x 7.75

                    = 31 cm

Length of the rectangle   =   31 cm



4)  

 The length and breadth of a rectangle are in the ratio 4 : 6 .  If the breadth  is 52 cm, find the length

Answer: 35 cm


SOLUTION 1 :

Given  :

Breadth   =  52 cm

The ratio of length to  breadth is 4 : 6

Breadth   = 6 parts

6 parts  =  52 cm

1 part  =   526

             =8.6666666666667 cm

Length   =  4 parts

4 parts   =  4 x 8.6666666666667

                    = 35 cm

Length of the rectangle   =   35 cm



5)  

 The length and breadth of a rectangle are in the ratio 3 : 5 .  If the breadth  is 98 cm, find the length

Answer: 59 cm


SOLUTION 1 :

Given  :

Breadth   =  98 cm

The ratio of length to  breadth is 3 : 5

Breadth   = 5 parts

5 parts  =  98 cm

1 part  =   985

             =19.6 cm

Length   =  3 parts

3 parts   =  3 x 19.6

                    = 59 cm

Length of the rectangle   =   59 cm



6)  

 The length and breadth of a rectangle are in the ratio 3 : 8 .  If the breadth  is 69 cm, find the length

Answer: 26 cm


SOLUTION 1 :

Given  :

Breadth   =  69 cm

The ratio of length to  breadth is 3 : 8

Breadth   = 8 parts

8 parts  =  69 cm

1 part  =   698

             =8.625 cm

Length   =  3 parts

3 parts   =  3 x 8.625

                    = 26 cm

Length of the rectangle   =   26 cm



7)  

 The length and breadth of a rectangle are in the ratio 2 : 6 .  If the breadth  is 59 cm, find the length

Answer: 20 cm


SOLUTION 1 :

Given  :

Breadth   =  59 cm

The ratio of length to  breadth is 2 : 6

Breadth   = 6 parts

6 parts  =  59 cm

1 part  =   596

             =9.8333333333333 cm

Length   =  2 parts

2 parts   =  2 x 9.8333333333333

                    = 20 cm

Length of the rectangle   =   20 cm



8)  

 The length and breadth of a rectangle are in the ratio 2 : 5 .  If the breadth  is 99 cm, find the length

Answer: 40 cm


SOLUTION 1 :

Given  :

Breadth   =  99 cm

The ratio of length to  breadth is 2 : 5

Breadth   = 5 parts

5 parts  =  99 cm

1 part  =   995

             =19.8 cm

Length   =  2 parts

2 parts   =  2 x 19.8

                    = 40 cm

Length of the rectangle   =   40 cm



9)  

 The length and breadth of a rectangle are in the ratio 3 : 8 .  If the breadth  is 70 cm, find the length

Answer: 26 cm


SOLUTION 1 :

Given  :

Breadth   =  70 cm

The ratio of length to  breadth is 3 : 8

Breadth   = 8 parts

8 parts  =  70 cm

1 part  =   708

             =8.75 cm

Length   =  3 parts

3 parts   =  3 x 8.75

                    = 26 cm

Length of the rectangle   =   26 cm



10)  

 The length and breadth of a rectangle are in the ratio 3 : 7 .  If the breadth  is 56 cm, find the length

Answer: 24 cm


SOLUTION 1 :

Given  :

Breadth   =  56 cm

The ratio of length to  breadth is 3 : 7

Breadth   = 7 parts

7 parts  =  56 cm

1 part  =   567

             =8 cm

Length   =  3 parts

3 parts   =  3 x 8

                    = 24 cm

Length of the rectangle   =   24 cm