# 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:

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

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