Question

Consider the statement: Ratio of breadth and length of a hall is 2 : 5. Complete the following table that shows some possible breadths and lengths of the hall. 

Breadth of the hall (in metres)	10	`square`	40
Length of the hall (in metres)	25	50	`square`

Answer 1

i. Length = 50 m

`"Breadth"/50 = 2/5`

By cross multiplication

5 × Breadth = 50 × 2

Breadth = `(50 xx 2)/5`

= `100/5`

= 20 m

ii. Breadth = 40 m

`40/"Length" = 2/5`

By cross multiplication

2 × Length = 40 × 5

Length = `(40 xx 5)/2`

Length = `200/2`

Length = 100 m

Breadth of the hall (in metres)	10	20	40
Length of the hall (in metres)	25	50	100