SOLUTION: A television screen is 16cm by 22cm. The manufacturer wants to increase the outer edge by a uniform width to double the area. Find the uniform width to the nearest cm.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: A television screen is 16cm by 22cm. The manufacturer wants to increase the outer edge by a uniform width to double the area. Find the uniform width to the nearest cm.      Log On


   

Question 1167980: A television screen is 16cm by 22cm. The manufacturer wants to increase the outer edge by a uniform width to double the area. Find the uniform width to the nearest cm.
Answer by ikleyn(52752) About Me  (Show Source):
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New dimensions are  (16+2x) by (22+2x).


The area equation is

    (16+2x) * (22+2x) = 2*16*22


Simplify and solve for x

    16*22 + 44x + 32x + 4x^2 = 2*16*22

    4x^2 + 76x - 16*22 = 0

     x^2 + 19x - 88 = 0


At this point, use the quadratic formula and choose positive root.


ANSWER.  3.851 cm (approximately).

Solved.

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in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Dimensions and the area of rectangles and circles and their elements".

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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.