Question

If a 42 cm line segment is divided into two parts in the ratio 4:3. Then the length of largest part is​

Answer 1

Answer:

Length of largest part = 24 cm

Step-by-step explanation:

Given :

Length of a line segment = 42 cm

Two parts are in ratio = 4:3

To find :

The length of the largest part

Taken :

Let the parts of line segment be x .

So , the equation will form like this -:

$\boxed{\sf{4x+3x=42cm}}$

After that multiply the ratio with the value of x . Then we will get the length of both part then we will get the length of the largest part .

Solution :

$:\implies\sf{4x+3x=42cm}$

$:\implies\sf{7x=42cm}$

$:\implies\sf{x=\dfrac{\cancel{42}cm}{\cancel{7}}}$

$:\implies\sf{x=6}$

Value of x is 6 .

Length of 1st part -:

$:\implies\sf{4\times6cm}$

$:\implies\sf{24cm}$

Length of 2nd part -:

$:\implies\sf{3\times6cm}$

$:\implies\sf{18cm}$

So , the length of largest part is 24 cm .