Lamps on playground

The playground has the shape of a rectangle 36 x 50m. After how many meters will he place the lamps on his lighting, if the distances between them are to be the same on both sides if the builders want to use the smallest possible number of lamps?

Correct result:

x =  2 m

Solution:

a=36 m cm=36 100  cm=3600 cm b=50 m cm=50 100  cm=5000 cm  3600=243252 5000=2354 GCD(3600,5000)=2352=200  x1=GCD(a,b)=GCD(3600,5000)=200 cm  x=x1 m=x1/100  m=200/100  m=2 m



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