Plumber

The plumber had to cut the metal strip with dimensions 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 result:

x =  20 cm
n =  57

Solution:

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=S1S2=22800400=57



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