Question 1199114
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            Below I will explain you on how to set up an equation to this problem.



<pre>
The area of the large rectangle (the garden plus the walkway around the garden) is (2x+6)*(2x+10)  square feet.


The area of the garden itself is  6*10 = 60 square feet.


The area of the walkway is the difference  (2x+6)*(2x+10) - 60 square feet.


The volume of 1 cubic yards, converted to cubic feet is  {{{3^3}}} = 27 cubic feet.


When laid on the level ground with the thickness of 3 inches = {{{1/4}}} of a foot,
1 cubic yard covers the area  {{{27/((1/4))}}} = 27*4 = 108 square feet.



So, 108 square feet is the area, which should be in the right side of this equation

    (2x+6)*(2x+10) - 60 = 108.


Both sides of this equation represent the same quantity: the area of the walkway.


It leads to the equation

    (2x +6)*(2x+10) = 168.


It is exactly the equation you asked about.



In the original solution under this link


https://www.algebra.com/algebra/homework/word/geometry/Geometry_Word_Problems.faq.question.1126574.html


the tutor obtained the same equation in another way (as the area of the large rectangle "the garden + the walkway").
</pre>


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;After completing the setup, &nbsp;the solution goes on the way 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;shown by the tutor under the cited link.



To see many similar solved problems, &nbsp;see the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Surface-area/Problems-on-the-area-of-a-rectangle-surrounded-by-a-strip.lesson>Problems on the area and the dimensions of a rectangle surrounded by a strip</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Surface-area/Cynthia-Besch-and-the-rug.lesson>Cynthia Besch wants to buy a rug for a room</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Surface-area/Making-a-box-from-a-piece-of-cardboard.lesson>Making a box from a piece of cardboard</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Surface-area/Circular-pool-and-a-walkway-around.lesson>Problems on a circular pool and a walkway around it</A>

in this site.


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this online textbook under the topic 
"<U>Dimensions and the area of rectangles and circles and their elements</U>".


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.