A painting includes a frame of a fixed width around the painting. The total area of the painting is represented by the expression (4+2x)(9+2x) . What does the (9+2x) represent?

the length of the painting, including the frame

the area of the painting only

the length of the frame

the length of the painting

Respuesta :

Answer:

The length of the painting, including the frame.

Step-by-step explanation:

We are given that a painting includes a frame of a fixed width around the painting and the total area of the painting is represented by the expression:

[tex](4+2x)(9+2x)[/tex]

We are to determine what does [tex](9+2x)[/tex] represent.

(9+2x) represents the length of the painting, including the frame because [tex](4+2x)(9+2x)[/tex] is the area of the painting including the frame. The longer side [tex](9+2x)[/tex] represents the length.