Question

Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign? (5 points) A square shaped traffic sign is shown with length of one side labeled as 2x minus 1.

Select one: a. 4x2 − 1 b. 4x2 + 1 c. 4x2 + 4x − 1 d. 4x2 − 4x + 1

Answer 1

Answer:
`d. \ 4x^2-4x + 1`

Explanation:

Given the length of one side of the square shaped traffic sign = (2x-1)

We need to find the expression for the area of the square shaped traffic sign.

Area of the square of given by formula

`A= Side × Side`

Plugging value of expression length of side of the square in above formula, we get

A= (2x-1) (2x-1)

Let us foil it now.

A = (2x)(2x) +(2x)(-1) + (-1) (2x) +(-1)(-1)

=
`4x^2-2x-2x+1`

`A=4x^2-4x+1`

Therefore, correct option is
`d. \ 4x^2-4x + 1`

Answer 2

The correct answer is d) 4x² - 4x + 1.

The area of a square is found by squaring the side length:

(2x-1)² = (2x-1)(2x-1) = 2x*2x - 2x*1 - 2x*1 - 1(-1) = 4x² - 2x - 2x + 1 = 4x²-4x+1