Final answer:
The width of the frame is 13 inches and the length is 9 inches.
Step-by-step explanation:
Let's say the width of the frame is w inches. According to the problem, the length of the frame is 4 inches shorter than its width, so the length is w - 4 inches.
The perimeter of a rectangle is given by the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the width. Since the perimeter of the frame is 44 inches, we can set up the following equation:
44 = 2(w - 4 + w)
Simplifying the equation, we get:
44 = 2(2w - 4)
Now, we can solve for w:
44 = 4w - 8
52 = 4w
w = 13
Therefore, the width of the frame is 13 inches. The length can be found by substituting the width value into the expression w - 4:
l = 13 - 4 = 9
So, the length of the frame is 9 inches.