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Lena [83]
3 years ago
11

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 draw

n 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
Mathematics
2 answers:
Montano1993 [528]3 years ago
5 0

Answer:

b

Step-by-step explanation:

Bezzdna [24]3 years ago
3 0

Answer:

Option 2)  2x3 – 6x2 – 14x + 24 square centimeters

Step-by-step explanation:

We know the Parallelogram Area is given by

A=bh      Eqn. (1)

where

b : is the base

h  : is the height

We are also given that the base is

b=2x^2+2x-6

and the height is

h=x-4

So we can plug these two expressions in Eqn. (1), simplify and find our Area equation as follow:

A=(2x^2+2x-6)(x-4)\\\\A=(2x^2)(x)+(2x)(x)-(6)(x)+(2x^2)(-4)+(2x)(-4)-(6)(-4)\\\\A=2x^3+2x^2-6x-8x^2-8x+24\\\\A=2x^3+2x^2-8x^2-6x-8x+24\\\\A=2x^3-6x^2-14x+24

Which matches Option 2. from the available ones.

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