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The width of a rectangle dance floor is w feet. The length of the floor is 6 feet longer than its width. Which of the following expresses the perimeter, in feet , of the dance floor in terms of w?

Respuesta :

calculista

Answer:

[tex]P=4(W+3)\ ft [/tex]  or  [tex]P=(4W+12)\ ft[/tex]

Step-by-step explanation:

Let

L------> the length of the floor

W----> the width of the floor

we know that

The perimeter of a rectangle is equal to

[tex]P=2(L+W)[/tex] -----> equation A

in this problem we have

[tex]L=W+6[/tex] -----> equation B

substitute equation B in equation A

[tex]P=2(W+6+W)[/tex]

[tex]P=2(2W+6)[/tex]

[tex]P=4(W+3)\ ft [/tex]  or  [tex]P=(4W+12)\ ft[/tex]

Answer: 4w +12

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • Width = W
  • Length = L= w +6 (since its length is 6 feet longer than its width)

Applying the perimeter formula:

Perimeter(P) = 2w +2L

Replacing with the values given:

P = 2w +2 (w+6)

P=2w +2w+12

P= 4w+12

Feel free to ask for more if needed or if you did not understand something.

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