The formula for the area of a parallelogram is A = bh, where b is the base and h is the height. A parallelogram that is not drawn to scale. The height is labeled (x minus 4) centimeters. The base is labeled (2 x squared + 2 x minus 6) centimeters.
Which simplified expression represents the area of the parallelogram?

Area = 2x^3 - 6x^2 - 14x + 24

Step-by-step explanation:

h = x - 4

b = 2x^2 + 2x - 6

Area = b * h

Area = (x - 4)(2x^2 + 2x - 6)                           Multiply through by x

Area = 2x^3 + 2x^2 - 6x - 8x^2 - 8x + 24     Multiply through by -4

Area = 2x^3 + (2x^2 - 8x^2) - 6x - 8x + 24   Collect like terms.

Answer

Area = 2x^3 - 6x^2 - 14x + 24