# Rectangles

How many different rectangles with sides integers (in mm) have a circumference exactly 1000 cm? (a rectangle with sides of 50cm and 450cm is considered to be the same as a rectangle with sides of 450cm and 50cm)

Correct result:

n =  2500

#### Solution:

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

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