Question

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.

Answer 1

The simplified expression that represents the area of the parallelogram is 2x^3 - 6x^2 -14x + 24

How to calculate the area of a parallelogram

Area of a parallelogram = base * height

Given the following

Base = 2x^2 + 2x - 6

Height  = x - 4

Substitute into the formula to have:

Area of a parallelogram= (x-4)(2x^2 + 2x - 6)

Area of a parallelogram= 2x^3 + 2x^2 - 6x - 8x^2 - 8x + 24

Area of a parallelogram= 2x^3 - 6x^2 -14x + 24

Hence the simplified expression that represents the area of the parallelogram is 2x^3 - 6x^2 -14x + 24

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