Answer: A(x) = 4x² + 24x + 35
Explanation:
Let x represent the width of the rectangular frame.
The formula for determining the area of a rectangle is expressed as
Area = length × width
The measurement of the rectangular picture is 5 in. by 7 in.
If the width is 5 inches, then the combined width of the picture and frame is 5 + x + x = (5 + 2x) inches
The combined length would be
7 + x + x = (7 + 2x) inches
Therefore, a quadratic function in standard form to show the combined area of the picture and frame would be
(5 + 2x)(7 + 2x)
35 + 10x + 14x + 4x²
A(x) = 4x² + 24x + 35