Question

The square painting in the figure measures x inches

on each side. The painting is uniformly surrounded by
a frame that measures 3 inches wide. Use this
information to write a polynomial in descending
powers of x that expresses the area of the square that
includes the painting and the frame.
The area is
(Simplify your answer. Use descending order.)
3 inches
3 inches
98
3 inches
X
3 inche

Answer 1

The area of the square that includes the painting and the frame is x² + 6x + 9

How to determine the area of the square that includes the painting and the frame

From the question, we have the following parameters that can be used in our computation:

The painting and the frame

Where, we have

Width of frame = 3

Width of picture = x + 3

The area of the square that includes the painting and the frame is then calculated as

Area = (x + 3) * (x + 3)

Evaluate

Area = x² + 3x + 3x + 9

Evaluate

Area = x² + 6x + 9

Hence, the area is x² + 6x + 9