Question

Length and width of a field are in the ratio 5 : 3. If the width of the field is 42 m, then its length is

• A. 70 m
• B. 50 m
• C. 80 m
• D. 100 m

Answer 1

The correct option is A 70 m

Given: Ratio of length to the width of the field = 5 :3
Width of the field is 42 m.

Now, we need to find the length of the field when its width is 42 m.

Let the length of the field be $l$ m.

$5:3$ and $l:42$ are equivalent ratios.

$\Rightarrow$ $5:3=l:42m$

$\Rightarrow$ $5:3=l:(3\times 14)$

$\Rightarrow$ $l=5\times 14=70m$

$\therefore$ When the width of the field is 42 m, the length of the field will be 70 m.