2. Riley wants to have a frame custom made for a piece of artwork her sister drew. The artwork is 6 inches wide and 8 inches tall. What expression in simplest form represents the perimeter of th frame with a width of \( x \) inches?

To find the perimeter of the frame, you'll need to account for the width of the frame around the artwork. The total dimensions of the framed artwork will be (6 + 2x) inches wide and (8 + 2x) inches tall. The perimeter (P) of a rectangle is given by the formula P = 2(length + width). So, substituting the dimensions gives us: P = 2((6 + 2x) + (8 + 2x)) = 2(14 + 4x) = 28 + 8x. Thus, the expression representing the perimeter of the frame in its simplest form is \( 28 + 8x \). Want a little backstory on frames? Custom frames have been around since the medieval times when tapestries and paintings were given just as much attention as the art itself! Artists would often use frames to complement their work, enhancing the aesthetic and ensuring their masterpieces had the perfect final touch. Thinking about making your own frame? Whether it’s wood, metal, or even an upcycled material, creating a custom frame allows you to express your personality and creativity! Plus, implementing tricks like miter cuts or adding matte boards can elevate the entire look. Don't shy away from experimenting; it could turn into your next favorite hobby!