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Rectangle




In Geometry , a rectangle is defined as a Quadrilateral where all four of its angles are Right Angle s.

From this definition, it follows that a rectangle has two pairs of parallel sides; that is, a rectangle is a Parallelogram . A Square is a special kind of rectangle where all four sides have equal length; that is, a square is both a rectangle and a Rhombus . A rectangle that is not a square is colloquially known as an oblong.

Normally, of the two opposite pairs of sides in a rectangle, the length of the longer side is called the ''length'' of the rectangle, and the length of the shorter side is called the ''width''. (Exception: For rectangular steel sheets, the rolling direction is called ''length'', even if it is the shorter side.)

The Area of a rectangle is the Product of its length and its width; in symbols, A=lw. For example, the area of a rectangle with a length of 5 and a width of 4 would be 20, because 5 imes 4 = 20.

In a rectangle the diagonals cross each others at their respective midpoints, under the same argument as for Parallelograms . And unlike general parallelograms the two diagonals of a rectangle have the same length, the length of the diagonal can be found using the Pythagorean Theorem .

In Calculus , the Riemann Integral can be thought of as a Limit of Sum s of the areas of arbitrarily thin rectangles.


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