Question

alissa is framing a rectangular picture with length 10 inches and width 8 inches. let x represent the width of the frame in inches.
image of a framed rectangle with inner rectangle labeled 10 in. (length) and 8 in. (width), and frame width x on all sides
which expression represents the length, in inches, of the framed picture?
√ 2x + 10 √
complete
which expression represents the width of the framed picture?
dropdown with options: x + 8, x² + 8, 2x + 8, 8x²

Explanation:

Step1: Analyze the frame's width addition

The original width of the picture is 8 inches. The frame has a width of \( x \) inches on both the left and right sides. So we need to add \( x \) (left) and \( x \) (right) to the original width.

Step2: Form the expression

Mathematically, that is \( 8 + x + x \), which simplifies to \( 2x + 8 \).

Answer:

\( 2x + 8 \) (corresponding to the option "2x + 8")