# A segment 35 centimeters long is divided into two segments whose ratio is 3:4.How long is each segment?

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Given: 35 cm = the measure of the segment

3 : 4 = the ratio of the two shorter segments divided from 35 cm

Asked: How long is each segment?

Mathematical sentence:

x = length of the shorter segment

x = length of the longer segment

Solution:

Length of the shorter segment =

x

x

15 cm

Length of the shorter segment = 15 cm

Length of the longer segment:

x

x

20 cm

Length of the longer segment = 20 cm

Check: 15 : 20 or = 3 : 4 or

Cross multiply:

15 x 4 = 20 x 3

60 = 60, CORRECT

Therefore:

Length of the shorter segment = 15 cm

Length of the longer segment = 20 cm

3 : 4 = the ratio of the two shorter segments divided from 35 cm

Asked: How long is each segment?

Mathematical sentence:

x = length of the shorter segment

x = length of the longer segment

Solution:

Length of the shorter segment =

x

x

15 cm

Length of the shorter segment = 15 cm

Length of the longer segment:

x

x

20 cm

Length of the longer segment = 20 cm

Check: 15 : 20 or = 3 : 4 or

Cross multiply:

15 x 4 = 20 x 3

60 = 60, CORRECT

Therefore:

Length of the shorter segment = 15 cm

Length of the longer segment = 20 cm