The perimeter of a rectangular window is 2626 feet. The width of the window is 33 feet more than the length. What are the dimensions of the window?

Alright, if the width is w and the length is l,

l+33=w

2w+2l=2626.

Substituting w for l+33, we get 2 (l+33) + 2l=2626 and 2l+66+2l=2626 using the distributive property. Next, we get 4l+66=2626 and subtracting 66 from both sides, we get 4l=2560. Dividing by 4, we get 640=l and since w=33+l, w=673