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  1. Area of the square = [tex]x^2+2x+1[/tex]

    Step-by-step explanation:

    We need to find the area of the square

    The side length of the square is (x+1)

    Area of the square formula is (side)^2

    Replace side with x+1

    So the area of the square = [tex](x+1)^2[/tex]

    [tex](x+1)^2= (x+1)(x+1)= x^2+x+x+1= x^2+2x+1[/tex]

    Area of the square = [tex]x^2+2x+1[/tex]

  2. Area of the square = [tex]x^2+2x+1[/tex]

    Step-by-step explanation:

    We need to find the area of the square

    The side length of the square is (x+1)

    Area of the square formula is (side)^2

    Replace side with x+1

    So the area of the square = [tex](x+1)^2[/tex]

    [tex](x+1)^2= (x+1)(x+1)= x^2+x+x+1= x^2+2x+1[/tex]

    Area of the square = [tex]x^2+2x+1[/tex]

  3. [tex]A=n^{2}[/tex]

    Step-by-step explanation:

    Find area of a square

    Area of square = length x width

    Since a square's has the same length on all sides, we can square both sides.

    Area of square = [tex]length^{2}[/tex]

    If length = n

    Then,

    [tex]A=n^{2}[/tex]

  4. Area of Square = Base*Height 
    Base=(x+1) Height=(x+1)
    Therefore Area=(x+1)(x+1) or (x+1)^2
    By expanding the brackets e.g. x*x is x^2 then x*1 is x and so on you get:
    x^2+x+x+1 this simplfies to x^2+2x+1
    Area = x^2=2x+1
    Unless they have given you a value for x, this is the equation for the area of said square.

  5. Step-by-step explanation:

    the area of a square is the length multiplied the breadth

    in a square, all sides are equal so:

    A=n×n

    A=n²

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