The length of the picture frame is less than 14.5 inches.
The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Let the width of the picture frame is b
So length = b +3
The perimeter of the picture frame (p) as
⇒ 2 (b + b+3)
⇒ (2b+3)
⇒ 4b+6
Given that perimeter is less than 52 inches.
⇒ p < 52
⇒ 4b + 6 < 52
⇒ 4b < 46
⇒ b < 11.5
So, the length = b+3 =11.5 + 3 = 14.5
Hence, the length of the picture frame is less than 14.5 inches.
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