The drawing paper has dimensions 220mm and 308mm. Pupils should cut it into squares of the same size so that they are as large as possible. Determine the dimensions of the square in cm and the number of squares.

Correct answer:

a =  4.4 cm
n =  35

Step-by-step explanation:

x=220 mm y=308 mm  220=22511 308=22711 GCD(220,308)=2211=44  A=GCD(x,y)=GCD(220,308)=44 mm  a=A cm=A:10  cm=44:10  cm=4.4 cm=4.4 cm
n1=x/A=220/44=5 n2=y/A=308/44=7  n=n1 n2=5 7=35

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