Rectangle practice problems

A rectangle is a quadrilateral with four right angles and opposite sides that are parallel and equal in length. The area is calculated as A = length × width, and the perimeter as P = 2(l + w). Rectangles are parallelograms with the special property of having all angles equal to 90°. The diagonals of a rectangle are equal in length and bisect each other, though they are not perpendicular unless the rectangle is also a square. Rectangles are ubiquitous in architecture, design, and everyday objects. Understanding rectangles is fundamental to area calculations, coordinate geometry, and optimization problems involving perimeter and area constraints.

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