Question

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

Answer 1

Given:

Given that the length of the rectangle is 5x + 2.

The width of the rectangle is x - 4.

We need to determine the area of the rectangle in a simplified polynomial expression.

Area of a rectangle:

The area of the rectangle can be determined using the formula,

`A=length * width`

Substituting length = 5x + 2 and width = x - 4, we get;

`A=(5x+2)(x-4)`

Multiplying the terms, we have;

`A=5x^2-20x+2x- 8`

Adding the like terms, we get;

`A=5x^2-18x- 8`

Thus, the area of the rectangle is
`5x^2-18x-8`

Hence, Option c is the correct answer.