Posted by **tina** on Sunday, December 5, 2010 at 10:49pm.

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 -
**Henry**, Tuesday, December 7, 2010 at 6:31pm
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,

## Answer this Question

## Related Questions

- alg 2 - A rectangular plot is 30 feet long and 20 feet wide. The area will be ...
- Geometry - The area of a 300' by 400' rectangle is doubled by adding a strip of ...
- Math - A rectangular flower garden, 7 m by 6 m, is surrounded by a grass strip ...
- Physics - Jack and Jill are skating. Jill has a mass of 50 kg, Jack has a mass ...
- algebra 2 - Farmer Brown wants to double the size of his rectangular backyard ...
- College Algebra - The parking lot is 25 by 40 feet. The owner wants to enlage ...
- algebra 2 - Farmer Brown wants to double the size of his rectangular backyard ...
- Grade 9 Algebra - 4. WALLPAPER A decorative wallpaper strip has an area of 50 + ...
- Math - Jackie mows a strip of uniform width around her 25 m by 15 m rectangular ...
- Math, Quadratics - Adam has a hockey rink in his backyard. The current ...