SOLUTION: The height of a {{{highlight(cross(rectangle))}}} <U>rectangular</U> {{{highlight(window)}}} is 0.4 m more than the width. The total area is 10.4 m2. Determine the dimensions of

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The height of a {{{highlight(cross(rectangle))}}} <U>rectangular</U> {{{highlight(window)}}} is 0.4 m more than the width. The total area is 10.4 m2. Determine the dimensions of       Log On


   



Question 1195545: The height of a highlight%28cross%28rectangle%29%29 rectangular highlight%28window%29 is 0.4 m more than the width. The total area is 10.4 m2.
Determine the dimensions of the window by solving an appropriate equation. Round your answer to the nearest hundredth

Answer by ikleyn(52915) About Me  (Show Source):
You can put this solution on YOUR website!
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W*(W+0.4) = 10.4


W^2 + 0.4W - 10.4 = 0


Solve this quadratic equation using the quadratic formula.


ANSWER.  The width W is 3.03 m;  The height is  3.03+0.4 = 3.43 m.


CHECK.  3.03*3.43 = 10.394 m^2,  which is good, taking rounding into account.

Solved.

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On solving quadratic equations using the quadratic formula,  see the lessons
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
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 lessons are the part of this textbook under the topic  "Quadratic equations".


Save the link to this online textbook together with its description

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.