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Write a simplified polynomial expression in standard form to represent the area of the rectangle below.

A picture of a rectangle is shown with one side labeled as 5 x plus 2 and another side labeled as x minus 4.

5x2 + 18x − 2

5x2 + 13x + 2

5x2 − 18x − 8

5x2 + 13x + 8

Respuesta :

meerkat18
Given:
Rectangle shape.
One side: 5x + 2
other side: x - 4

Area = length * width
Area = (5x+2)(x-4)
A = 5x(x-4) +2(x-4)
A = 5x² - 20x + 2x - 8
A = 5x² - 18x - 8
akposevictor

The polynomial expression that represents the area of the rectangle is: C. 5x² - 18x - 8

What is the Area of a Rectangle?

Area = (length)(width)

Given the dimensions of the rectangle as:

  • Length = 5x + 2
  • Width = x - 4

Area of the rectangle = (5x + 2)(x - 4)

5x(x - 4) + 2(x - 4)

5x² - 20x + 2x - 8

Add like terms together

5x² - 18x - 8

Learn more about area of a rectangle on:

https://brainly.com/question/25292087

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