Question

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?

Answer 1

Answer: 4w +12

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.

Answer 2

`P=4(W+3)\ ft` or
`P=(4W+12)\ ft`

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

`P=2(L+W)` -----> equation A

in this problem we have

`L=W+6` -----> equation B

substitute equation B in equation A

`P=2(W+6+W)`

`P=2(2W+6)`

`P=4(W+3)\ ft` or
`P=(4W+12)\ ft`