posted by .

A rectangular skating rink measuring 30m by 20m is doubled in area by adding a strip at one end of the rink and a strip fo the same width along one side of the rink. Find the width of the strips if the enlarged rink is still rectangular.

  • math -

    A = (30 + X) (20 + X) = 2(30 * 20),

    X^2 + 30X + 20X + 600 = 1200 m,
    X^2 + 50X + 600 = 1200,
    X^2 + 50X + 600 - 1200 = 0,
    X^2 + 50X - 600 = 0,
    Factor the Eq:
    (X - 10) (X + 60) = 0,
    X - 10 = 0,
    X = 10.

    X + 60 = 0,
    X = -60.

    Use the positive value of x:
    X = 10 m = width of strips added,

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    A rectangular flower garden, 7 m by 6 m, is surrounded by a grass strip of uniform width. If the total area of the garden and the grass strip is 90 m^2, what is the width of the strip?
  2. alg 2

    A rectangular plot is 30 feet long and 20 feet wide. The area will be doubled by adding a strip at one end and another strip of the same width on one side. What would be the width of the strip?
  3. physics

    A figure skater is warming up on the rink. She does a lap of a 100m rink. She completes the laps in 3 minutes. What was her speed?
  4. Math, Quadratics

    Adam has a hockey rink in his backyard. The current dimensions are 10m by 20m. Adam wants to have a hockey tournament and needs to double the area of his hockey rink. How much must Adam increase each dimension if he wants to increase …
  5. College Algebra

    The parking lot is 25 by 40 feet. The owner wants to enlage the parking lot by paving an equal width strip on the north side and east side of the lot, sot hat the new lot will be twice the area of the old one. Find the equation which …
  6. Geometry

    The area of a 300' by 400' rectangle is doubled by adding a strip of width around the perimeter. Approximately how wide is that strip?
  7. English

    1. They are skating in an ice rink. 2. They are skating at an ice rink. 3. They are skating on an ice rink. (Which one is correct?
  8. Physics

    Jack and Jill are skating. Jill has a mass of 50 kg, Jack has a mass of 80 kg. At t=0 seconds Jill starts skating across a 50 m diameter rink at a speed of 3 m/s. After 3 seconds Jack skates after her with a speed of 5 m/s. When they …
  9. Math

    Need help on this one.... Your town is building a circular ice rink with a diameter of 100 feet. Around the ice rink will be a walkway that is 10 feet wide. What is the approximate area of the walkway?
  10. Math

    A circular ice rink is being built in town. Around the ice rink, a walkway will be built. The ice rink will have a diameter of 8080 feet and the walkway will be 1010 feet wide. What is the approximate area of the walkway?

More Similar Questions