A frame around a rectangular family portrait has a perimeter of 66 inches. The length of the frame is 3 inches less than twice the width. Find the length and width of the frame.

Answer 1

Hello Alexander,

Let's start with the equation for the perimeter of a rectangle:

P = 2w + 2l ("w" is width and "l" is length)

Then we substitute:

P = 66 = 2w + 2(2w - 3) (2w -3 is "3 inches less than twice the width")

Simplify step by step:

33 = w + 2w -3

33 = 3w - 3

11 = w - 1

w = 12

Since l = 2w - 3, we can substitute:

l = 2 * 12 - 3

l = 24 - 3 = 21

So, the width is 12 inches and the length is 21 inches.