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​Algebra 1   State Test Practice

Which expression represents the area of the rectangle

3/20/2019

 
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

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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