The isoperimetric theorem for rectangles states that among all rectangles of a given perimeter, the square has the largest area. The midpoints of the sides of any quadrilateral with perpendicular diagonals form a rectangle. A parallelogram with equal diagonals is a rectangle


Yes, because square and rhombus have four equal sides.

but rhombus cannot be a square because square has equal diagonals but diagonals of rhombus are not equal.
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If diagonals are equal in a rhombus then it is a square
es square is a rhombus but evey square is not  a rhombus

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