Final answer:
The width of the rectangular window, given a perimeter of 634 inches and a length of 205 inches, is calculated to be 112 inches using the perimeter formula for rectangles.
Step-by-step explanation:
To calculate the width of a rectangular window given the perimeter and length, we use the formula for the perimeter of a rectangle which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
The perimeter of the window is 634 inches, and the length is 205 inches. Plugging these values into the formula, we get:
634 = 2(205) + 2w
634 = 410 + 2w
To solve for w, we subtract 410 from both sides:
634 - 410 = 2w
224 = 2w
Now we divide both sides by 2 to find the width:
112 = w
Therefore, the width of the window is 112 inches.