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 x-4 and another side labeled as 5x+2

A) 5x^2 + 18x - 2
B) 5x^2 + 13x + 2
C) 5x^2 - 18x - 8
D 5x^2 + 13x + 8

Answer 1

Formula for area of rectangle:
A= Length x width
Put values
A=(x-4)(5x+2)
Expand
A=5x²+2x-20x-8
Add like terms
A=5x²-18x-8

Answer: Option C is correct.