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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 x plus 1.

Respuesta :

(x+1)^2
(x+1)(x+1)
x^2+x+x+1
The expression is x^2+2x+1

The area of the metal sheet required to make a square-shaped traffic sign is [tex](x^2+2x+1)[/tex] and this can be determined by using the formula of the area of the square.

Given :

A square-shaped traffic sign is shown with the length of one side labeled as x plus 1.

The following steps can be used in order to determine the area of the metal sheet required to make a square-shaped traffic sign:

  • Step 1 - The formula of the area of the square can be used in order to determine the area of the metal sheet required to make a square-shaped traffic sign.

                      [tex]A = a^2[/tex]

                    where 'a' is the side length of the square.

  • Step 2 - According to the given data, a square-shaped traffic sign is shown with the length of one side labeled as x plus 1.

  • Step 3 - So, the area of the square becomes:

                  [tex]A = (x+1)(x+1)[/tex]

  • Step 4 - Simplify the above expression.

                 [tex]A =x^2+2x+1[/tex]

The area of the metal sheet required to make a square-shaped traffic sign is [tex](x^2+2x+1)[/tex].

For more information, refer to the link given below;

https://brainly.com/question/1658516