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

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(52788) (Show Source): You can put this solution on YOUR website!
.


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


     =  = 


The only root which makes sense is  x=  = 6.266 meters.    ANSWER

Solved.

-------------------

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.

RELATED QUESTIONS
a) The Pinetown Recreation Bureau planned to build a rectangular ice-skating rink with... (answered by greenestamps)

the subzero community association is going to build a skating rink in a park. They have... (answered by Solver92311)

You are skating on an rectangular ice rink that is 200 by 85 ft. If you are skating... (answered by josgarithmetic)

A community skating rink is in the shape of a rectangle with semicircles attached at the (answered by josgarithmetic)

A skating rink is designed in the shape of a rectangle with a semicircle on each end. The (answered by scott8148)

The area (A) of a rectangular ice - skating rink is 900 square yards if the length (L) of (answered by macston)

the area of the rectangular ice-skating rink is 900 square yards. If the length of the... (answered by Cromlix)

A rectangular skating rink measures 40m by 20m. It is to be doubled in area by extending (answered by ankor@dixie-net.com)

A rectangular skating rink has length 22m and width 30m. The rink is made larger by... (answered by ankor@dixie-net.com)