Question

A line segment 56cm long is to be divided into two parts in the ratio
of 2:5. Find the length of each part.

Answer 1

Answer:

Length of each part will be 16cm & 40cm.

Step-by-step explanation:

Let 1st part = 2x

2nd part=5x

According to question,

2x+5x =56

7x = 56

x=56/7

x= 8

Hence, 1st part = 2x = 2×8=16cm

2nd part =5x=5×8=40cm

Answer 2

Step-by-step explanation:

Let

The length of the two parts be 2x cm and 5x cm.

Given

Length of the line segment =56cm

According to the question,

5x+2x=56

⇒7x=56

⇒x=

7

56

=8

Hence,

Length of one segment =5×8 cm=40 cm

Length of the other segment =2×8 cm=16 cm