Question 1093886
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<pre>
Let x be that unknown width, in feet.


The area of the pool is 19*13 sq. ft.


The exterior dimensions of the larger rectangle are (19+2x) ft and (13+2x) ft.


Hence, the area of the larger rectangle is the product  (19+2x)*(13+2x) sq. ft.


Then the area of the walkway around the pool is the difference  (19+2x)*(13+2x) - 19*13.


So, your equation expressing this area is

(19+2x)*(13+2x) - 19*13 = 273.


Solve it and find x.
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To see more samples/examples of solved problems of this type, look into the lesson

&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>

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 lesson is the part of this online textbook under the topic 
"<U>Dimensions and the area of rectangles and circles and their elements</U>".