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The algebraic expression 6x2 + 9 x + 3 represents the area of a rectangle. What is the area of the rectangle when x = 3m?​

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The area of the rectangle calculate using the algebraic model given is 84 m²

Given the algebraic representation for the area of a rectangle :

  • Area of rectangle = 6x² + 9x + 3

The Area of the rectangle when x = 3 can be calculated thus :

Substitute the value x = 3 into the equation :

x = 3

Area of rectangle = 6(3)² + 9(3) + 3

Area of rectangle = 54 + 27 + 3 = 84 m²

Therefore, the area of the rectangle is 84 m²

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