SOLUTION: The area of a rectangular pool is 192 square meters. The length of the pool is 4 meters more than its width.Find the length and width.

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Question 394159: The area of a rectangular pool is 192 square meters. The length of the pool is 4 meters more than its width.Find the length and width.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

The length of the pool is 4 meters more than its width

Let x and (x + 4m) represent the width and length respectively

Question states***

  x(x+4m) = 192 m^2

solving for x

 x^2 + 4m - 192 m^2 = 0

factoring

(x+16)(x-12)=0           |OR x+=+%28-4+%2B-+28%29%2F%282%29+ using Quadratic Formula

(x+16)=0  tossing out negative solution for measure

(x-12)=0   x = 12m, the width.  The length is 16m   (12m+4m)