Area of the entire rectangle is x² + 11x + 30. This can be obtained by adding area of each square.
Calculate the polynomial for area of the entire rectangle:
Method 1
Area of rectangle = length × width
- Area (blue) = length × width = (x) × (x) = x²
- Area (green) = length × width = (5) × (x) = 5x
- Area (pink) = length × width = (6) × (x) = 6x
- Area (orange) = length × width = (6) × (5) = 30
Area of entire rectangle = x² + 5x + 6x + 30 = x² + 11x + 30
Method 2
Area of entire rectangle = length × width
= (x+6)×(x+5)
= x² + (6+5)x + (6×5) [∵(x+a)(x+b) =x² + (a+b)x + ab]
= x² + 11x + 30
Hence area of the entire rectangle is x² + 11x + 30.
Learn more about quadratic equations here:
brainly.com/question/17177510
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