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In a square, x represents the length of its side. Which value of x illustrates that the area and the

perimeter of the square have the same value. Show your supporting work.

Respuesta :

Area of square is given by , [tex]A=x^2[/tex].

Perimeter of square is , P = 4x .

We need to find value of x when area and perimeter are equal :

So ,

[tex]x^2=4x\\\\x(x-4)=0\\\\x=4[/tex]

For x = 4 units area is equal to the perimeter of square.

Hence, this is the required solution.

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