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  2. Rectangle - Wikipedia

    en.wikipedia.org/wiki/Rectangle

    A rectangle is a rectilinear polygon: its sides meet at right angles. A rectangle in the plane can be defined by five independent degrees of freedom consisting, for example, of three for position (comprising two of translation and one of rotation), one for shape (aspect ratio), and one for overall size (area).

  3. Length - Wikipedia

    en.wikipedia.org/wiki/Length

    In a triangle, the length of an altitude, a line segment drawn from a vertex perpendicular to the side not passing through the vertex (referred to as a base of the triangle), is called the height of the triangle. The area of a rectangle is defined to be length × width of the rectangle. If a long thin rectangle is stood up on its short side ...

  4. Difference of two squares - Wikipedia

    en.wikipedia.org/wiki/Difference_of_two_squares

    The smaller piece, at the bottom, has width a-b and height b. Now the smaller piece can be detached, rotated, and placed to the right of the larger piece. In this new arrangement, shown in the last diagram below, the two pieces together form a rectangle, whose width is a + b {\displaystyle a+b} and whose height is a − b {\displaystyle a-b} .

  5. Buffon's needle problem - Wikipedia

    en.wikipedia.org/wiki/Buffon's_needle_problem

    To determine F(φ), let's first look at the case for the horizontal edges of the bounding rectangle. The total side length is a and the midpoint must not be within ⁠ l / 2 ⁠ cos φ of either endpoint of the edge. Thus, the total allowable length for no intersection is a − 2(⁠ l / 2 ⁠ cos φ) or simply just a − l cos φ.

  6. Golden rectangle - Wikipedia

    en.wikipedia.org/wiki/Golden_rectangle

    In geometry, a golden rectangle is a rectangle with side lengths in golden ratio +:, or ⁠:, ⁠ with ⁠ ⁠ approximately equal to 1.618 or 89/55. Golden rectangles exhibit a special form of self-similarity : if a square is added to the long side, or removed from the short side, the result is a golden rectangle as well.

  7. Size - Wikipedia

    en.wikipedia.org/wiki/Size

    Size in general is the magnitude or dimensions of a thing. More specifically, geometrical size (or spatial size) can refer to three geometrical measures: length, area, or volume. Length can be generalized to other linear dimensions (width, height, diameter, perimeter). Size can also be measured in terms of mass, especially when assuming a ...

  8. File:RectangleLengthWidth.svg - Wikipedia

    en.wikipedia.org/wiki/File:RectangleLengthWidth.svg

    Original file (SVG file, nominally 220 × 170 pixels, file size: 10 KB) This is a file from the Wikimedia Commons . Information from its description page there is shown below.

  9. Area - Wikipedia

    en.wikipedia.org/wiki/Area

    Given a rectangle with length l and width w, the formula for the area is: [2] A = lw (rectangle). That is, the area of the rectangle is the length multiplied by the width. As a special case, as l = w in the case of a square, the area of a square with side length s is given by the formula: [1] [2] A = s 2 (square).

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