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  a1=5,b1=4 a2=6,b2=3 a3=7,b3=2 a4=8,b4=1  n=42(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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