# Rectangles

Vladimir likes to draw rectangles. Yesterday he created all rectangles that had sides in centimeters and a circumference of 18 cm. How many rectangles of different dimensions have been drawn?

Correct result:

n =  4

#### Solution:

$2(a+b)=18 \ \\ a+b=9 \ \\ \ \\ a_{1}=5, b_{1}=4 \ \\ a_{2}=6, b_{2}=3 \ \\ a_{3}=7, b_{3}=2 \ \\ a_{4}=8, b_{4}=1 \ \\ \ \\ n=4$

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