Question 1194635
.
A resort's enormous rectangular pool is 500 meters wide and 250 meters long. 
A contractor is hired to construct a brick walkway around the pool with an area of 1504 m^2.
What are the roots of the working equation?
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<pre>
If x is the uniform width of the walkway around the rectangular pool,
then the area equation is

    (500+2x)*(250+2x) = 500*250 + 1504,

or

    500*250 + 1500x + 4x^2 = 500*250 + 1504

              4x^2 + 1500x - 1504 = 0

               x^2 +  375x -  376 = 0

               (x-1)*(x+376) = 0.


The roots are x= 1  and  x= -376: one positive and one negative.


As a possible solution, we accept the positive root and reject the negative one.
</pre>

Solved, answered and explained.


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If you want to see many other similar &nbsp;(and different) &nbsp;solved problems, &nbsp;look into 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/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 lesson is 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.