Question 1154852
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Bobby just received an award for employee of the year and wants to frame the plaque in b) such a way as it creates 
a border of uniform width around the rectangular plaque. He only has enough material to create a total of 16 square 
inches in area for the border. If the plaque is 6 inches by 9 inches, how wide should the border be?
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        The solution in the post by @mananth is incomplete/unreadable.

        Strictly saying, an explanation absents in the @mananth's post.

        See below my complete solution.



<pre>
Let 'x' be the uniform width of the frame.

Write an equation for the frame area

    (6+2x)*(9+2x) - 6*9 = 16


Simplify

    54 + 18x + 12x + 4x^2 - 54 = 16,

    4x^2 + 30x - 16 = 0

    2x^2 + 15x - 8 = 0


Solve using the quadratic formula:  x = 1/2 or -8.

Use the positive value.


<U>ANSWER</U>.  The uniform width of the frame is 1/2 of an inch.
</pre>

Solved.