Interesting property

Plot a rectangular shape has the interesting property that circumference in meters and the area in square meters are the same numbers.

What are the dimensions of the rectangle?

Result

a =  3 m
b =  6 m

Solution:

$2(a+b) = ab \ \\ 2a + 2b = ab \ \\ \ \\ a \neq 2 \ \\ \ \\ a = 3 \ \text{m}$
$b = \dfrac{ 2a }{a -2 } \ \\ b = 6 \ \text{m}$

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