Lamps on playground

The playground has the shape of a rectangle of 36 x 50m. After how many meters can place the lamps on its 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 answer:

x =  2 m

Step-by-step explanation:

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=2 m



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