Answer:
Area = (x² + 11x + 24)
Explanation:
Area of the blue square with sides 'x' units = (Side)²
= x²
Area of the pink rectangle = Length × width
= 3 × (x)
= 3x
Area of the orange rectangle = Length × Width
= 8 × 3
= 24
Area of the green rectangle = Length × width
= (x) × 8
= 8x
Now total area of the entire rectangle = x² + 3x + 24 + 8x
= (x² + 11x + 24)
Therefore, area of the entire rectangle will be a polynomial (x² + 11x + 24)