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2015-02-08T16:01:36+08:00

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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: 
                   
       35 cm  \frac{3}{3 + 4} = length of the shorter segment
       35 cm \frac{4}{3 + 4} = length of the longer segment

Solution:
       Length of the shorter segment =
                 35 cm  \frac{3}{3 + 4}
                 35 cm  \frac{3}{7}
                  \frac{105 cm}{7}
                 15 cm
 Length of the shorter segment =  15 cm
        
        Length of the longer segment: 
                 35 cm \frac{4}{3 + 4}
                 35 cm \frac{4}{7}
                  \frac{140 cm}{7}
                 20 cm
Length of the longer segment = 20 cm

Check: 15 : 20 or  \frac{15}{20} = 3 : 4 or  \frac{3}{4}
  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
           

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2015-02-08T16:34:42+08:00