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The answer is x + 5

If you divide x2+8x+15 by x+3, you get x+5

To check your work, multiply x+3 and x+5.
Since you get x2+8x+15, 
x+5 is the answer.

The expression that represents the length of the rectangle is x + 5

Area of a rectangle:

The area of a rectangle is described as follows:

  • area = lw

where

l = length

w = width

Therefore,

area = x² + 8x + 15

w = x + 3

Therefore,

x² + 8x + 15 = (x + 3)l

divide both sides by x + 3

l =  x² + 8x + 15 / x + 3

l = (x+3)(x+5) / (x + 3)

Finally,

length = x + 5

learn more on rectangle here: https://brainly.com/question/14383947