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A piece of string is cut up in the proportion 11/2 : 2 :3. I...
Math NABTEB NABTEB-2019 NABTEB-mathematics-2019 NABTEB-mathematics
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A piece of string is cut up in the proportion 11/2 : 2 :3. If the longest piece is 20. 7cm,  what is the length of the shortest piece? 

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Joshua43
Asked by Joshua43rep:165
Nigeria
09 September 2020

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peter
Peter answeredrep:1.9K
University of Lagos Nigeria
10 September 2020
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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

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dp
Joshua43,
Thanks
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Joshua43
Joshua43 answeredrep:165
Nigeria
10 September 2020
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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

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dp
judziy, University of Benin
This looks like another question and should not be posted as a reply on another question
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