Question

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

Answer 1

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

Hope this helps