<PRE><B>Question 1166938</B>
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&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;Tutor Theo misread the problem, so his solution is conceptually incorrect.


&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;I came to guide you in right direction.



&lt;pre&gt;
The area of the garden is 15*20 = 30 square meters;

so the area inside the fence is 2*300 = 600 square meters.

Thus this part is solved: it is easy part.


Now let start working on the second question.



Lex x be the uniform distance around the flower bed.


Then the dimensions of the fence are  (15+2x) meters width and (20+2x) meters length.


The area inside the fence is then  (15+2x)*(20+2x).


From here you have this equation to determine x


    (15+2x)*(20+2x) = 2*15*20 = 600.


Reduce this equation to the standard quadratic equation form and solve using the quadratic formula.


    4x^2 + 70x - 300 = 0.


It has no solution/solutions in integer or rational numbers, so other solution methods (guessing or factoring)
do not work.


When you find the value of x, you determine the perimeters as

    (15+2x) + (20+2x) + (15+2x) + 20+2x).
&lt;/pre&gt;


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To see many other similar solved problems (your potential TEMPLATES), look into the lessons

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/Surface-area/Problems-on-the-area-of-a-rectangle-surrounded-by-a-strip.lesson&gt;Problems on the area and the dimensions of a rectangle surrounded by a strip&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/Surface-area/Cynthia-Besch-and-the-rug.lesson&gt;Cynthia Besch wants to buy a rug for a room&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/Surface-area/Circular-pool-and-a-walkway-around.lesson&gt;Problems on a circular pool and a walkway around it&lt;/A&gt;

in this site.


Also, &amp;nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson&gt;ALGEBRA-I - YOUR ONLINE TEXTBOOK&lt;/A&gt;.


The referred lesson is the part of this online textbook under the topic 
&quot;&lt;U&gt;Dimensions and the area of rectangles and circles and their elements&lt;/U&gt;&quot;.


Save the link to this online textbook together with its description


Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson


to your archive and use it when it is needed.



</PRE>