Question 1173312
.


If you reflect the shape,  which you are looking for,  about the wall as a mirror,

you reduce the given problem to the following problem


<pre>
    find a shape / (a figure) in the plane, which at given perimeter of 200 m
    has maximum possible area.
</pre>


It is &nbsp;WELL &nbsp;KNOWN &nbsp;classic problem on finding maximum area at given perimeter, &nbsp;and its solution is known &nbsp;VERY &nbsp;WELL:


<pre>
    The solution is a circle with the given circumference &nbsp;(perimeter) of &nbsp;200 m.
</pre>


Keeping it in mind, &nbsp;every student of the &nbsp;6th - 7th grade can complete the solution of the given problem

on his &nbsp;(or her) &nbsp;own without any difficulties.



The answer is &nbsp;&nbsp;&nbsp;&nbsp;a semi-circle of the radius of  &nbsp;&nbsp;{{{200/(2pi)}}} = {{{100/pi}}} = {{{100/3.14159}}} = 31.831 meters  


with the area of  &nbsp;&nbsp;{{{(1/2)*pi*(100/pi)^2}}} = {{{(1/2)*(10000/pi)}}} = {{{5000/3.14159}}} = 1591.551 square meters.



Happy learning &nbsp;(!)



For your education, &nbsp;see this Wikipedia article


https://en.wikipedia.org/wiki/Area     &nbsp;&nbsp;&nbsp;&nbsp;, &nbsp;the section &nbsp;"Circle area".