Three gardens

Is it possible to divide a plot of land with an area of 920 m2 into three gardens in a ratio of 4: 2: 3 so that their areas are only whole multiples of square meters?

Correct answer:

a =  408.8889 m2
b =  204.4444 m2
c =  306.6667 m2

Step-by-step explanation:

k=920/(4+2+3)=9920102.2222 m2  a=4 k=4 102.2222=408.8889 m2
b=2 k=2 102.2222=204.4444 m2
c=3 k=3 102.2222=306.6667 m2

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