Question

Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign?

A square shaped traffic sign is shown with length of one side labeled as 8x minus 2.


16x2 − 4
64x2 + 4
64x2 − 16x + 4
64x2 − 32x + 4

Answer 1

(8x - 2) = side of square

A(x) represents the needed function.

A(x) = (side)^2

A(x) = (8x - 2)^2

A(x) = (8x - 2)(8x - 2)

A(x) = 64x^2 - 32x + 4

Answer: 64x^2 − 32x + 4

Answer 2

The area of a square-shaped traffic sign is $\rm 64x^{2} - 32x + 4$. Then the correct option is D.

What is a square?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a square, opposite sides are parallel and all sides are equal and each angle is 90 degrees. And its diagonals are also equal and intersect at mid-point.

Given

A square-shaped traffic sign is shown with the length of one side labeled as $\rm 8x - 2$.

The area of the square is given by

$\rm Area = (side)^2$

Then the area will be

$\rm Area = (8x - 2)^2\\\\Area = 64x^2 - 32x +4$

The area of a square-shaped traffic sign is $\rm 64x^{2} - 32x + 4$.

Thus, the correct option is D.

More about the square link is given below.

https://brainly.com/question/13747846