Question

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

Answer 1

The length of the painting, including the frame.

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:

`(4+2x)(9+2x)`

We are to determine what does
`(9+2x)` represent.

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