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Which shape is defined as a rectangle with all sides equal in length?

  1. Square

  2. Parallelogram

  3. Rhombus

  4. Quadrilateral

The correct answer is: Square

A square is defined as a special type of rectangle in which all four sides are of equal length and all angles are right angles. While rectangles generally have opposite sides that are equal and all angles that are right angles, a square is unique because it meets these criteria while also requiring all four sides to be equal. This makes it a specific subset of both rectangles and quadrilaterals. In contrast, a parallelogram completes the definition by having opposite sides that are equal and parallel, but its sides do not have to be of equal length. A rhombus is similar in that it has all sides of equal length, but the angles are not necessarily 90 degrees, and thus, it is not classified as a rectangle. A quadrilateral is a broad category that includes any four-sided figure, so it does not specifically convey the characteristics associated with equal side lengths and right angles that are essential to identifying a square. Therefore, the shape that is defined as a rectangle with all sides equal in length is accurately described as a square.