Waterway in a Garden

Algebra Level 1

1.6 2 2.4 1.2

Kumar Gupta by Kumar Gupta , 23, India

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3 solutions

Venture Hi
Mar 4, 2014

if x is the width, then 36+(14-2x)*x=100. x= 2.192

1 Helpful 0 Interesting 0 Brilliant 0 Confused

How did you get the equation?

Calvin Lin Staff - 7 years, 3 months ago

2

So Haila - 7 years, 3 months ago

i dont get it

Stevan Nemeno - 7 years, 3 months ago

If x is the width, area of waterway= 20x + 20x + x(14-2x) = 54x - 2x2 Area of bigger rectangle= 14 X 20 = 280. Area of smaller rectangle = 180 Hence, area of waterway = 280 - 180 = 54 x-2x2. 2x2 - 54x +100 = 0. x2 - 27x + 50 = 0. x = 25 or x= 2 Hence, x=2.

Asmit Pathare - 7 years, 3 months ago

ans is 2

rakesh sharma - 7 years, 3 months ago

plz clearify this equation

Said Sajal - 7 years, 3 months ago
Bernardo Sulzbach
Jun 21, 2014

14 * 20 = 180 + 2 * w * (20 - w) + 14 * w

280 = 180 - 2 w ^ 2 + 54 w

100 + 2 w ^ 2 - 54 w = 0

w ^ 2 - 27 w + 50 = 0

(w - 2) (w - 25) = 0

S = {2, 25}.

25 is evidently wrong as it is even larger than the biggest size of the rectangle.

(I don't remember the name of such a root, sorry.)

2 m is the answer.

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Krishna Garg
Apr 1, 2014

@0699 0699 Let x is width ,therefore width of ground will be 14-2x, Length with figure given will be 20-x since area given is 180sq.Meter therefore (20-x)X(14-2x) =180,and therefore width is 2 Mts Ans.

K..K.GARG,India

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