The exact area of the square shown in the diagram with length of r equal to 22 is 242 squared units.
What is the diagonal of a square?
The diagonal of the square is the distance from opposite vertices of it. The length of both the diagonals of the square is equal in length and bisect each other at the intersection point.
In the given square, the value of r=22 is given. This line r is the half of the diagonal of the square. Thus, the length of the diagonal of the square is,
[tex]d=2r\\d=2\times22\\d=44\rm\; units[/tex]
The area of the square in terms of diagonal can be given as,
[tex]A=\dfrac{d^2}{2}[/tex]
Put the value,
[tex]A=\dfrac{22^2}{2}\\A=242\rm\; units^2[/tex]
Thus, the exact area of the square shown in the diagram with length of r equal to 22 is 242 squared units.
Learn more about the diagonal of the square here;
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