Question

3) 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: *​

Answer 1

Answer:

length = 70 m

Step-by-step explanation:

let width = 3x = 42

then x = 42÷3 = 14

so length = 5x

5×14 = 70 m .

Answer 2

Answer :-

• The length of the field is 70 m.

Given :-

• Length and width of a field are in the ratio 5 : 3.
• The width of the field is 42 m.

To find :-

• It's length.

Step-by-step explanation :-

• The length and width of a field are in the ratio 5 : 3, so let them be 5x and 3x respectively.

• It has been given that the width of the field is 42 m, and the width is also 3x.

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Hence,

$\sf3x = 42$

Transposing 3 from LHS to RHS, changing it's sign,

$\sf x = \dfrac{42}{3}$

Dividing 42 by 3,

$\overline{\boxed{\sf x = 14}}$

• The value of x is 14.

Hence, the length of the field is :-

$\bf5x = 5 \times 14 = 70 \: m.$

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Know more :-

What is a ratio?

• A ratio is a comparison of two quantities of the same kind by division.

What are the terms of the ratio called?

• The quantities a and b are called the terms of the ratio, a is called the antecedent and b is called the consequent.