Question

The length of a picture frame is 3in greater than the width. The perimeter is LESS THAN 52in. Describe the dimensions of the frame.

Answer 1

The length of the picture frame is less than 14.5 inches.

What is the perimeter of the rectangle?

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.

Learn more about the Perimeter of the rectangle here:

brainly.com/question/15287805

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