Plumber

The plumber had to cut the metal strip with dimensions of 380 cm and 60 cm to the largest squares to no waste. Calculate the length of the sides of a square. How many squares cut it?

Correct answer:

x =  20 cm
n =  57

Step-by-step explanation:

a=380 cm b=60 cm  380=22519 60=2235 GCD(380,60)=225=20  x=GCD(a,b)=GCD(380,60)=20 cm
S1=a b=380 60=22800 cm2 S2=x2=202=400 cm2  n=S2S1=40022800=57



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