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.

$\begin{array}{cccc}\text{Breadth of hall(in meters)}& 10& \square & 40\\ \text{Length of the hall (in meters)}& 25& 50& \square \end{array}$

• A. 20, 100
• B. 15, 70
• C. 100, 20
• D. 30, 60

Answer 1

The correct option is A

20, 100

Ratio of breadth to length = 2:5 = $\frac{2}{5}$
Other equivalent ratios are:
$\frac{2}{5}$ $\times$ $\frac{10}{10}$ = $\frac{20}{50}$,
Here, breadth of the hall is 20 and the length of the hall is 50.
$\frac{2}{5}$ $\times$ $\frac{20}{20}$ = $\frac{40}{100}$
Here, breadth of the hall is 40 and the length of the hall is 100.