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What are the dimensions of a deck that will have railings on only three sides, utilizing the maximum available 28 meters of railing?

A) 7m x 7m
B) 10m x 6m
C) 8m x 5m
D) 12m x 4m

User Adam D
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1 Answer

4 votes

Final answer:

To find the dimensions of a deck with three sides of railings using 28 meters of material, one side is left unrailed. The dimensions need to satisfy the equation 2L + W = 28. Option D, 12m x 4m, is the only combination satisfying this equation.

Step-by-step explanation:

The question is about finding the dimensions of a rectangle that would use exactly 28 meters of railing on three of its sides. To solve this problem, let's denote the length of the deck as L and the width of the deck as W. Since railings are placed on only three sides, the total length of the railings will be L + L + W, which should equal the 28 meters available. Thus, the equation to solve is 2L + W = 28 meters.

Reviewing each option:

  • 7m x 7m: 2(7) + 7 = 21, not 28 meters.
  • 10m x 6m: 2(10) + 6 = 26, not 28 meters.
  • 8m x 5m: 2(8) + 5 = 21, not 28 meters.
  • 12m x 4m: 2(12) + 4 = 28 meters. This is the correct answer.

Therefore, the dimensions of the deck that would utilize the maximum 28 meters of railing on three sides are 12m x 4m, which corresponds to option D.

User Schuyler
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