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?

Correct result:

a =  3 m
b =  6 m

Solution:

$$\begin{gathered} 2(a+b)=ab \\ 2a+2b=ab \\ a\mathrm{\ne }2 \\ a=3\text{ m} \end{gathered}$$

$$\begin{gathered} b={\displaystyle \frac{2a}{a-2}} \\ b=6\text{ m} \end{gathered}$$

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