Length of the rectangular photo = 22 inches
Width of the rectangular photo = 20 inches
Since, width of the frame outside the photo = x inches
Therefore, increase in length and width of the photo with frame = (x + x)
= 2x inches
Length of the photo with frame = (22 + 2x) inches
Width of the photo with frame = (20 + 2x) inches
Combined Area of the photo in the frame = Length × Width
= (22 + 2x)(20 + 2x)
= 22(20 + 2x) + 2x(20 + 2x)
= 440 + 44x + 40x + 4x²
= 4x² + 84x + 440
Therefore, polynomial representing the combined area of the photo in the frame will be (4x² + 84x + 440) square inches.
If width of the frame = 4 inches
Combined area of the photo = 4(4)² + 84(4) + 440
= <u><em>840 square inches</em></u>
