Gardens

I have a garden in the shape of a square with a side length of 0.02 kilometers. Neighbor has a large garden as well and one side of the garden we share. I'd bought from a neighbor garden that my area of my garden increased to 5 ares.
a/ By how many acres I bought from neighbor?
b / how many meters will move my fence towards into a neighbors garden if I bought it?

Correct result:

a =  1 a
b =  5 m

Solution:

$$\begin{gathered} x=0.02\cdot 1000=20 \\ S=x^2=20^2=400 \\ a=5-S\mathrm{/}10^2=5-400\mathrm{/}10^2=1\text{ a} \end{gathered}$$

$b=a\cdot 10^2\mathrm{/}x=1\cdot 10^2\mathrm{/}20=5\text{ m}$

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