The length of a side of a square is (2x - 1) cm. 1. What is the perimeter of the square?
2. What is the area of the square?
3. Is it possible that x is 0.25? Justify your answer.

1.8x-4

2.4x^2 -4x +1

3. No, while using it in perimeter it does get the same answer for both the beginning equation and final, area does not get the same answer in both.

Step-by-step explanation:

Its a square so all sides are equal.

1. Perimeter= 4 * side length

P=4(2x-1)

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

8x-4

2. Area=length x width

(2x-1)(2x-1)

You can use FOIL for this.

Firsts:2x*2x = 4x^2

Outsides:2x*-1 = -2x

Insides:-1*2x = -2x

Lasts:-1*-1 = 1

Now put them together with variables first.

4x^2 -2x -2x +1

Combine like terms

4x^2 -4x +1

Area= 4x^2 -4x +1

3. Replace x in perimeter.4(2x-1)

4(2(0.25)-1)

4(.5-1)

2-4

-2

Now in 8x-4.

8(.25)-4

2-4

-2

Both are equal so it works here

Area:(2x-1)(2x-1)

2(.25)-1

-.5*-.5

-1

Area final: 4x^2 -4x +1

4(.25)^2 -4(.25) +1

1^2-1+1

1-1+1

1

No its not equal so it does not work.