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	${\displaystyle \square }$	40
Length of the hall (in metres)	25	50	${\displaystyle \square }$

Answer 1

i. Length = 50 m

${\displaystyle \frac{\text{Breadth}}{50}=\frac{2}{5}}$

By cross multiplication

5 × Breadth = 50 × 2

Breadth = ${\displaystyle \frac{50\times 2}{5}}$

= ${\displaystyle \frac{100}{5}}$

= 20 m

ii. Breadth = 40 m

${\displaystyle \frac{40}{\text{Length}}=\frac{2}{5}}$

By cross multiplication

2 × Length = 40 × 5

Length = ${\displaystyle \frac{40\times 5}{2}}$

Length = ${\displaystyle \frac{200}{2}}$

Length = 100 m

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