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

Question

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

wanell · Answer

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