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The width of a rectangular room is 3 feet shorter than it is long. If the perimeter of the room is 42 feet, what is the width of the room? Show work

User Subrata
by
4.5k points

2 Answers

6 votes

Answer:

Should be 9 feet.

Explanation:

Well I just set up the equation 2x + 2(x-3) = 42 Then solved x and subtracted x by 9.

User Grokking
by
4.2k points
5 votes

Answer:

  • 9 feet

Explanation:

Let width be w and length be l

Then we have equations below:

  • w = l - 3
  • 2(w + l) = 42

Substitute l = w + 3 in the second equation and solve for w:

  • w + l = 21
  • w + w + 3 = 21
  • 2w = 21 - 3
  • 2w = 18
  • w = 18/2
  • w = 9 feet
User Robin Van Dijke
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5.3k points