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Question
A rectangular flower bed has a perimeter of 54 feet. 7 additional beds were placed side by side next to the first bed.  The new bed is twice as long as the original bed.

Calculate dimensions of original bed.  Thanks.

Answer
"A rectangular flower bed has a perimeter of 54 feet."
Let L and W be the length and width, respectively.
L + W = 27
W = 27 - L

"7 additional beds were placed side by side next to the first bed."
Dimensions of the new bed: L by 8W

"The new bed is twice as long as the original bed."
8W = 2L
https://www.flickr.com/photos/dwread/13954548516/

Substitution
8(27 - L) = 2L
216 - 8L = 2L
10L = 216
L = 21.6 ft
W = 27 - L = 5.4 ft

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Janet Yang

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I can answer questions in Algebra, Basic Math, Calculus, Differential Equations, Geometry, Number Theory, and Word Problems. I would not feel comfortable answering questions in Probability and Statistics or Topology because I have not studied these in depth.

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I tutor students (fifth through twelfth grades) and am a Top Contributor on Yahoo!Answers with over 24,000 math solutions.

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