The area of the rectangle is [tex]25q^2-9[/tex].
The area of the rectangle is the product of length and width.
The length of the sides of the square is 5q.
3 is added and 3 is subtracted to the length and the width of the square so, the dimensions of the new quadrilateral is (5q+3) and (5q-3).
So, the area of the rectangle is-
[tex]A=(5q+3)\times (5q-3)\\=25q^2-9[/tex]
Thus, the area of the rectangle is [tex]25q^2-9[/tex].
Learn more about the area of the rectangle here- https://brainly.com/question/20693059
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