Question 1149545
.
<pre>

The dimensions of the writing portion are 11 inches by 17 inches.


If the width of the uniform border is x inches, then the outer dimensions of the finished product are  (11+2x) by (17+2x) inches.


The equation for the area of the finished product is


    (11+2x)*(17+2x) = 315   square inches.


Simplify and solve for x


    11*17 + 56x + 4x^2 = 315

    4x^2 + 56x - 128 = 0

     x^2 + 14x - 32  = 0

     (x+16)*(x-2)    = 0


Of the two roots, x= -16  and  x= 2,  only positive root x= 2 makes sense.


<U>ANSWER</U>.  The uniform width of the border is 2 inches.
</pre>

Solved.


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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>".


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