Question

Model the situation with the sun of the polynomials. Then simplify their sum.

A rectangular picture frame has the dimensions shown in the figure. Write a polynomial that represents the perimeter of the frame.

Answer 1

Answer: 16x - 2

Explanation:

The perimeter of a figure is the total length of all sides of the figure. Since this figure is a rectangle, opposite sides have the same length.

Therefore, the perimeter of the picture frame can be modeled by

`6x+3+2x-4+6x+3+2x-4`

Moving all like terms together, we get

`6x+2x+6x+2x+3-4+3-4`

Finally, combining these terms, we get

`16x -2`