Rectangles

How many different rectangles with sides integers (in mm) have a circumference exactly 1000 cm?

Result

n =  2500

Solution:

2(a+b)=10000 a+b=5000  n=5000/2=25002(a+b)=10000 \ \\ a+b=5000 \ \\ \ \\ n=5000/2=2500



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