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 2x minus 1.

4x2 − 1
4x2 + 1
4x2 + 4x − 1
4x2 − 4x + 1

Please

Answer 1

D) 4x2 − 4x + 1

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Answer 2

To find the area you will multiply the length by the width.

Because it is a square, these are the same.

A = lw
(2x - 1)(2x -1)
4x^2 -4x + 1(the last choice)

To get this multiply the first 2 terms in each parenthesis.

2x(2x)= 4x^2

Then multiply the first term in the first ( )by the last term in the last ( ).

2x(-1) = -2x

and then multiply last term in the 1st ( ) by the first term in the last ( ).

Same as above = -2x

Finally, multiply the last terms in both parenthesis

-1(-1)= 1