No, such a figure cannot exist. A quadrilateral with all angles measuring 90 degrees must have equal opposite sides to satisfy the rectangle’s properties, ensuring its geometric consistency and structural balance.
Class 6 Mathematics Chapter 8 Playing with Constructions question answer
Class 6 NCERT Ganita Prakash Chapter 8 Playing with Constructions
Constructing a quadrilateral where all angles are 90 degrees but opposite sides are unequal is impossible. By definition, a figure with four right angles must be a rectangle or square. In these shapes, opposite sides are always equal to maintain proportionality and symmetry. If opposite sides are unequal, the angles would deviate from 90 degrees, breaking the figure’s classification. This impossibility underscores the geometric relationships governing rectangles and squares.
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