Question

The perimeter of a square is 1/12 m. What is the length of the square?
3/4 m
1/3 m
1/48 m​

Answer 1

Compare the fractions:

(i)  

5

8

 

and

7

12

 

(ii)  

5

9

 

and

11

15

 

(iii)  

11

12

 

and

15

16

 

ANSWER:

We have the following:

(i)  

5

8

 

and  

7

12

 

 

By cross multiplication, we get:

5 × 12 = 60 and 7 × 8 = 56

However, 60 > 56

∴  

5

8

 

>

7

12

 

(ii)  

5

9

 

and

11

15

 

By cross multiplication, we get:

5 × 15 = 75 and 9 × 11 = 99

However, 75 < 99

∴  

5

9

 

<

11

15

 

(iii)  

11

12

 

and

15

16

 

By cross multiplication, we get:

11 × 16 = 176 and 12 × 15 = 180

However, 176 < 180

∴  

11

12

 

<

15

16