Square gardens

The gardening colony with dimensions of 180 m and 300 m is to be completely divided into equally large square areas with the largest possible area. Calculate how many such square areas can be obtained and determine the square's side length.

Correct answer:

a =  60 m
n =  15

Step-by-step explanation:

x=180 m y=300 m  180=22325 300=22352 GCD(180,300)=2235=60  a=GCD(x,y)=GCD(180,300)=60 m
n=x/a (y/a)=180/60 (300/60)=15



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