A concert hall is in the shape of a rectangle. Its floor has a length of (x + 6) meters and a width of (2x - 3) meters. Which

of the following simplified expressions represents the area of the floor?

A.) 2x² + 9x - 18

B.) 2x² + 15x - 18

C.) x² + 5x - 18

D.) x² + 9x + 18

of the following simplified expressions represents the area of the floor?

A.) 2x² + 9x - 18

B.) 2x² + 15x - 18

C.) x² + 5x - 18

D.) x² + 9x + 18

**Area of a rectangle = length x width**

Area = (x + 6)(2x - 3)

= 2x² - 3x + 12x - 18 {used FOIL method / distributive property}

= 2x² + 9x - 18 {combined like terms}

**A.) 2x² + 9x - 18**

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