Question 1162373
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The area of the border is the difference of the area of the larger rectangle and the smaller rectangle.


The dimensions of the smaller rectangle are given: they are 21 meter and 8 meters.


If the uniform width of the border is w (as it is shown in your picture), then the dimensions 

of the larger rectangle are  21+2w  and  8+2w meters.


So the area of the larger rectangle is  (21+2w)*(8+2w) square meters;

   the area of the smaller rectangle is  21*8 square meters.


Having this, you can write the equation for the border area


    (21+2w)*(8+2w) - 21*8 = 62  square meters.


At this point, the setup is completed.

You have the equation to find w.


This equation is quadratic relative the unknown w.


Reduce/simplify it to the standard form quadratic equation, and then solve it EITHER using the quadratic formula 

OR by factoring, if it works.


I hope that from this point you will be able to complete the solution on your own.


If not - then let me know.
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To see many other similar solved problems, 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/Circular-pool-and-a-walkway-around.lesson>Problems on a circular pool and a walkway around it</A>

in this site.



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