SOLUTION: 1) A rectangular garden is 9 ft longer than it is wide. Its area is 486 ft2. What are its dimensions?

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Question 609936: 1) A rectangular garden is 9 ft longer than it is wide. Its area is 486 ft2. What are its dimensions?
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi, 

Note: Category Change

 A rectangular garden is 9 ft longer than it is wide

Let w and (w+9) represent the width and length respectively

Question states***area is 486 ft2.

   w(w+9) = 486

   w^2 + 9w - 486 = 0 

w+=+%28-9+%2B-+sqrt%28+2025+%29%29%2F%282%29+

w+=+%28-9+%2B-+45%29%2F%282%29+

  w = 18 (throwing out neg(-27) solution for length

 w = 18 ft and length = 27 ft

CHECKING our Answer***

   18*27 = 486