SOLUTION: The Pinetown Recreation Bureau planned to build a rectangular ice-skating rink with dimensions 40m by 70m. Their budget has been cut, so they must reduce the area of the rink by 6

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Question 1168984: The Pinetown Recreation Bureau planned to build a rectangular ice-skating rink with dimensions 40m by 70m. Their budget has been cut, so they must reduce the area of the rink by 650 sq. meters. A strip will be removed from one end, and a strip of the same width will be removed from one side. Find the width of strips.
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
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From the condition, you have this equation


    (40-x)*(70-x) = 40*70 - 650.


Reduce it to the standard form quadratic equation and solve.


    x^2 - 110x + 650 = 0


Solve using the quadratic formula


    x%5B1%2C2%5D = %28110+%2B-+sqrt%28110%5E2+-+4%2A650%29%29%2F2 = %28110+%2B-+97.468%29%2F2


The only root which makes sense is  x= %28110+-+97.468%29%2F2 = 6.266 meters.    ANSWER

Solved.

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If you want to see many other similar solved problems, look into the lessons
    - Problems on the area and the dimensions of a rectangle surrounded by a strip
    - Cynthia Besch wants to buy a rug for a room
    - Problems on a circular pool and a walkway around it
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".

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.