Question 1092105
.
<pre>
The area of the walking track is the difference of areas of the larger rectangle and the smaller rectangle.


The dimensions of the larger rectangle are 6+2x and 8+2x, where x is (unknown) width of the walking track.


Your equation is

(6+2x)*(8+2x) - 6*8 = 71.


Simplify and solve for x.


4x^2 + 28x - 119 = 0.


Now apply the quadratic formula and find <U>the positive solution</U> of this quadratic equation.
</pre>


See 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 and find there examples/samples of solved problems of this type.