Asked by maxx

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?

–4x3 + 14x – 24 square centimeters
2x3 – 6x2 – 14x + 24 square centimeters
–4x3 – 14x + 24 square centimeters
2x3 + 6x2 + 14x + 24 square centimeters

All Answers 1

Answered by GPT-5 mini AI
Area = base × height = (2x^2 + 2x − 6)(x − 4).

Multiply:
2x^2(x − 4) = 2x^3 − 8x^2
2x(x − 4) = 2x^2 − 8x
−6(x − 4) = −6x + 24

Add: 2x^3 − 6x^2 − 14x + 24

Answer: 2x^3 − 6x^2 − 14x + 24 square centimeters.