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A piece of string is cut up in the proportion **1**1/2 : 2 :3. If the longest piece is 20. 7cm, what is the length of the shortest piece?

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Let the length of the shortest piece be x.

The ratios are 1 1/2 : 2 : 3

= 3/2 : 2 : 3

= 1.5 : 2 : 3

Thus, the longest piece has a proportion of 3 and the shortest is 1.5.

Since the length of the longest piece is 20.7cm,

20.7 = 3 [longest piece]

x = 1 5 [shortest piece]

Cross multiply,

3x = 1.5 × 20.7

3x = 31.05

x = 31.05/3

x = 10.35cm

Therefore, the length of the shortest piece is 10.35cm

Thanks

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Construct a qudrilateral ABCD in which /AB/=7cm, /AD/=6cm, /BC/=5cm, <ABC=120^o and <BAC=45^o. Measure measure the length of side CD

This looks like another question and should not be posted as a reply on another question

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