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?

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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