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

1.40

Length of the hall (in metres) 25 50

Solution

(i) Length = 50 m

Breadth / 50 = 2 / 5

On cross multiplication we get

5× breadth = 50 × 2

Breadth = (50 × 2) / 5

= 100 / 5

= 20 m

(ii) Breadth = 40 m

40 / Length = 2 / 5

On cross multiplication we get

2 × Length = 40 × 5

Length = (40 × 5) / 2

Length = 200 / 2

Length = 100 m

Hence the tablele can be completed as

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

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